Tawa College - Junior - Revision of Angles

Revision of Angles

This lesson is to help you revise for the Angles Test

You can do this as many times as you like. Read the lessons carefully.

Take notes if you need to, Watch the videos if you want to.​

Types of Angles

Multiple Choice

Identify this angle

• Obtuse angle

• Reflex angle

• Straight angle

• Acute angle

Multiple Choice

Measure of a right angle is

• 180⁰

• 90⁰

• 100⁰

• 80⁰

Multiple Choice

The measure of the angle of a straight line

• 10⁰

• 180⁰

• 40⁰

• 90⁰

Multiple Choice

Identify this angle

• Right angle

• Obtuse angle

• Acute angle

• Straight angle

Multiple Choice

What type of angle is shown here?

• Acute

• Obtuse

• Reflex

• Right

Multiple Select

Identify all the ACUTE angles...

• 37^o

• 135^o

• 23^o

• 4^o

• 175^o

Multiple Select

Identify all the OBTUSE angles...

• 87^o

• 245^o

• 303^o

• 164^o

• 95^o

Multiple Choice

What type of angle is shown here?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

I am an angle. I measure 111 degrees. What type of angle am I?

• acute angle

• right angle

• obtuse angle

• straight angle

Multiple Select

Identify all the REFLEX angles...

• 187^o

• 122^o

• 203^o

• 161^o

• 145^o

Naming Angles

Multiple Choice

Choose the correct name for the angle marked  $$\angle4.$$  

• $$\angle K$$  

• $$\angle KVJ$$  

• $$\angle LVK$$  

• $$\angle JKV$$  

Multiple Choice

Choose the correct name for the angle marked $$\angle3.$$  

• $$\angle V$$  

• $$\angle IJV$$  

• $$\angle IVH$$  

• $$\angle JVI$$  

Multiple Choice

Name the vertex of the angle.

• E

• F

• D

• E, F, and D are vertices

Multiple Choice

Choose the correct name for the angle marked $$\angle6.$$  

• $$\angle KVL$$  

• $$\angle LKV$$  

• $$\angle V$$  

• $$\angle JKV$$  

Multiple Choice

This angle is written as......

•  ∠ABC
•  ∠ACB
• ∠BCA
• ∠CAB

Multiple Choice

If I wanted to name ∠KGL which colored angle am I talking about?

• light blue
• yellow
• blue 
• green

Multiple Choice

If I wanted to name the red angle, which of these options would be acceptable?

• ∠HLG
• ∠KLH
• ∠LHG
• ∠HGL

Multiple Choice

What is another name for ∠H

• ∠KGH
• ∠LGH
• ∠LHG
• ∠K

​Using a protractor

Measuring Angles

Some text here about the tpic of discussion

Multiple Choice

Measure $$\angle c$$  .

• $$55\degree$$  

• $$65\degree$$  

• $$125\degree$$  

• $$135\degree$$  

Multiple Choice

Measure $$\angle a$$  .

• $$40\degree$$  

• $$140\degree$$  

Multiple Choice

Measure $$\angle b\$$  .

• $$90\degree$$  

• $$180\degree$$  

Multiple Choice

Measure $$\angle d$$  .

• $$21\degree$$  

• $$26\degree$$  

• $$34\degree$$  

• $$154\degree$$  

• $$166\degree$$  

Multiple Choice

Measure $$\angle a$$  .

• $$70\degree$$  

• $$110\degree$$  

• $$180\degree$$  

Multiple Choice

Measure $$\angle d$$  .

• $$50\degree$$  

• $$130\degree$$  

• $$180\degree$$  

Multiple Choice

Measure $$\angle e$$  .

• $$45\degree$$  

• $$135\degree$$  

• $$155\degree$$  

• $$55\degree$$  

Multiple Choice

What is the measurement of this angle?

• 104°

• 94°

• 86°

The first three angle rules

Multiple Choice

What is the value of angle a?

• 145

• 135

• 125

• 45

Multiple Choice

What is the geometric reason that ? = 75

• vert opp <s are =

• angles at a pt add to 360

• <'s on str line add to 180

• <'s in a tri add to 180

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Work out the size of the missing angle

• 24

• 34

• 54

• 104

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the size of the missing angle?

• 45

• 60

• 130

• 135

Multiple Choice

What is the size of the missing angle?

• 110

• 70

• 90

• 60

Multiple Choice

Work out the size of the missing angle

• 90

• 110

• 190

• 270

Fill in the Blanks

Multiple Choice

What is the geometric reason x = 84?

• vert opp <'s are =

• <'s in tri add to 180

• <'s at a point add to 360

• <'s on str line add to 180

Multiple Choice

What is the value of x?

• 53

• 67

• 57

• 133

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Work out the size of the missing angle

• 265

• 170

• 115

• 95

Multiple Choice

Find the angle at x

• 105

• 75

• 180

• 85

Multiple Choice

Work out the size of the missing angle

• 40

• 140

• 220

• 240

Multiple Choice

What is the geometric reason x = 85

• <'s in a tri add to 180

• x<'s on a str line add to 180

• <'s at a point add to 360

• vert opp <'s are =

Angles in a triangle

​

​1. The angles in a triangle add to 180 degrees

​​2. The base angles of an isosceles triangle are equal.

​​3. The angles in an equilateral triangle are 60 degrees

​​<D and <F are Base angles because are not between the equal length sides

Multiple Choice

Find the measure of the missing angle.

• 47
• 57
• 53
• 133

Multiple Choice

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

• 32
• 39
• 45
• 54

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

A triangle has one angle that measure 45° and one that measures 60°. What is the measure of the third angle?

• 135°

• 75°

• 120°

• 105°

Multiple Choice

$$\angle d\ =....^0$$  

• 130

• 100

• 65

• 55

Multiple Choice

If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180

• 180 degrees
• 90 degrees
• 50 degrees
• 60 degrees

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Select

Give the geometric reason for x = 41 degrees

• Base <'s of isos tri are =

• <'s in a tri add to 180

• all <'s in an equil tri are 60

• <'s on a str line add to 180

Multiple Choice

What do the angles in an equilateral triangle measure?

• 30, 60, 90
• 60, 60, 60
• 45, 45, 90
• 35, 55, 90

Angles on Parallel lines

​1. Corresponding angles on parallel lines are equal

​in this diagram the corresponding angles are

<1 and <5 <4 and <8 <2 and <6 <3 and <7​

Angles on Parallel lines

​2. Co-Interior angles on parallel lines add to 180 degrees

​3. Alternate angles on parallel lines are equal

​in this diagram the cointerior angles are

<1 and <8 <4 and <5 <2 and <7 <3 and <6

​in this diagram the alternate angles are

<3 and <5 <4 and <6 <1 and <7 <2 and <8​

Multiple Choice

What is the relationship of the angles

• Co-interior

• Alternate

• Corresponding
• Vertically Opposite

Multiple Choice

What is the relationship of the Angles

• Alternate Angles

• Co-interior

• Corresponding
• Vertically opposite

Fill in the Blanks

Multiple Choice

Match the image with the angle size and reason.

• m=55° (equal alternate angles on parallel lines)

• m=55° (equal corresponding angles on parallel lines)

• m=55° (supplementary co-interior angles on parallel lines)

• m=55° (equal vertically opposite angles)

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

• $$\angle1$$  and  $$\angle6$$  

• $$\angle6$$  and $$\angle5$$  

• $$\angle7$$  and $$\angle8$$  

• $$\angle4$$  and $$\angle8$$  

Multiple Choice

Match the image with the angle size and reason.

• p=86° (equal alternate angles on parallel lines)

• p=86° (equal corresponding angles on parallel lines)

• p=94° (supplementary co-interior angles on parallel lines)

• p=86° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=132° (equal alternate angles on parallel lines)

• m=132° (equal corresponding angles on parallel lines)

• m=48° (supplementary co-interior angles on parallel lines)

• m=132° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• c=48° (equal alternate angles on parallel lines)

• c=48° (equal corresponding angles on parallel lines)

• c=42° (supplementary co-interior angles on parallel lines)

• c=48° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• l=80° (alternate angles on parallel lines are =)

• l=80° (corresponding angles on parallel lines are =)

• l=100° (co-interior angles on parallel lines are supp)

• l=80° (equal vertically opposite angles are =)

Multiple Choice

Match the image with the angle size and reason.

• m=134° (equal alternate angles on parallel lines)

• m=134° (equal corresponding angles on parallel lines)

• m=46° (supplementary co-interior angles on parallel lines)

• m=134° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• q=72° (equal alternate angles on parallel lines)

• q=72° (equal corresponding angles on parallel lines)

• q=108° (supplementary co-interior angles on parallel lines)

• =72° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• f=21° (equal alternate angles on parallel lines)

• f=21° (equal corresponding angles on parallel lines)

• f=69° (supplementary co-interior angles on parallel lines)

• f=21° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=55° (equal alternate angles on parallel lines)

• m=55° (equal corresponding angles on parallel lines)

• m=125° (supplementary co-interior angles on parallel lines)

• m=55° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• y=115° (equal alternate angles on parallel lines)

• y=115° (equal corresponding angles on parallel lines)

• y=65° (supplementary co-interior angles on parallel lines)

• y=115° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• x=135° (equal alternate angles on parallel lines)

• x=135° (equal corresponding angles on parallel lines)

• x=45° (supplementary co-interior angles on parallel lines)

• x=135° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=78° (equal alternate angles on parallel lines)

• m=78° (equal corresponding angles on parallel lines)

• m=102°

  (co-interior angles on parallel lines)

• m=78° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• p=92° (equal alternate angles on parallel lines)

• p=92° (equal corresponding angles on parallel lines)

• p=88° (supplementary co-interior angles on parallel lines)

• p=92° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• n=110° (equal alternate angles on parallel lines)

• n=110° (equal corresponding angles on parallel lines)

• n=70°

  (co-interior angles on parallel lines)

• n=110° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=90° (equal alternate angles on parallel lines)

• m=90° (equal corresponding angles on parallel lines)

• m=90° (supplementary co-interior angles on parallel lines)

• m=90° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=132° (equal alternate angles on parallel lines)

• m=132° (equal corresponding angles on parallel lines)

• m=48° (supplementary co-interior angles on parallel lines)

• m=132° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• q=110° (equal alternate angles on parallel lines)

• q=110° (equal corresponding angles on parallel lines)

• q=70° (supplementary co-interior angles on parallel lines)

• q=110° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• f=38° (equal alternate angles on parallel lines)

• f=38° (equal corresponding angles on parallel lines)

• f=142° (supplementary co-interior angles on parallel lines)

• f=38° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• a=62° (equal vertically opposite angles)

• a=96° (equal vertically opposite angles)

• a=158° (equal vertically opposite angles)

• a=34° (equal vertically opposite angles)

Multiple Choice

Match the image with the angle size and reason.

• m=24° (equal vertically opposite angles)

• m=52° (equal vertically opposite angles)

• m=76° (equal alternate angles on parallel lines)

• m=76° (equal vertically opposite angles)

Interior Angles of a Polygon

​Any polygons Interior angle sum is found by using the formula (n-2) x 180

2 less than the number of sides x 180

This is the minimum number of triangles it can ​be split into.

Multiple Choice

What is the sum of the interior angles for a      24-gon

• 3960
• 360
• 15
• 4280

Multiple Choice

What is the SUM of the angle measures in a nonagon (9 sides)?

• 1440°
• 900°
• 1080°
• 1260°

Multiple Choice

How many triangles are there in a polygon in relation to the number of sides?

• 2 less triangles than sides

• 2 more triangles than sides

• 2 times as many

• sides divided by 2

Multiple Choice

What is the sum of the interior angles of a hexagon?

• 180 degrees

• 540 degrees

• 720 degrees

• 900 degrees

Multiple Choice

Which of these formulas can be used to calculate the sum of the interior angles in a polygon?

• 180(n+2)

• 180(n-2)

• $$\pi r^2$$  

• length x width

Multiple Choice

What is the sum of the interior angles of the polygon shown?

• 720° 
• 900° 
• 1080° 
• 1260° 

Multiple Choice

Find the sum of the interior angles in a 15-gon

• 2000
• 2340
• 1875
• 1080

Multiple Choice

What is the sum of the interior angles for a 24-gon?

• 3,960

• 360
• 1580

• 4,280

Multiple Choice

Find the value of x.

• 110

• 90

• 130

• 120

Multiple Choice

What is the measure of each angle in a regular pentagon (5-sides)?

• 90°
• 108°
• 120°
• 180°

Multiple Choice

If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have? 

• 7
• 9
• 10
• 12

Exterior Angles of a Polygons

​This works for any polygons, you just need to divide 360 by n, the number of sides and you will know one exterior angel of a regular polygon.

Multiple Choice

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

• 50°

• 55°

• 72°

• 355°

Multiple Choice

What is the measure of one EXTERIOR angle of a regular octagon?

• 60

• 45

• 1080

• 135

Multiple Choice

What is the measure of EACH EXTERIOR angle of a regular 67-gon?

• 5.4

• 11700

• 3.2

• 113

Multiple Choice

Find the measure of EACH EXTERIOR angle of a 18-gon.

• 160°

• 360°

• 20°

• 2280°

Multiple Choice

Find the value of y.

• 125
• 135
• 140
• 110

Multiple Choice

Solve for x.

• 220

• 110

• 250

• 125

Multiple Choice

What is the value of 'b'

• b = 360
• b = 34
• b = 340
• b = 180 

Multiple Choice

What is the value of c?

• c = 330
• c =30
• c = 66
• c = 360

Using Angles theorems

​Sometimes we have to use many steps with reasons to get to the answer.

e.g.​

Multiple Choice

2k + 110 = 180

Solve for k

• k = 35

• k = 90

• k = 55

• k = 110

Multiple Choice

Solve for d

• d = 120

• d = 50

• d = 90

• d = 70

Multiple Choice

Solve for s

• s = 71

• s = 90

• s = 11

• s = 19

Multiple Choice

• $$40\degree$$

• $$50\degree$$

• $$130\degree$$

• $$150\degree$$

Multiple Select

• $$A=40\degree$$

• $$A=50\degree$$

• $$B=130\degree$$

• $$B=40\degree$$

• $$B=90\degree$$

Fill in the Blanks

Fill in the Blanks

Bearings

Multiple Choice

What is
the correct bearing?

• 30
• 330
• 030
• 60

Multiple Choice

What is the correct bearing

• 304
• 44
• 56
• 056

Multiple Choice

Bearings are measured from North, Clockwise, using 3 digits

• True
• Flase

Multiple Choice

What is the bearing of B from A

• 025
• 205
• 25
• 155

Multiple Choice

What is the bearing of A from B

• 025
• 205
• 25
• 155

Multiple Choice

What is
the Bearing
 of A
from B?

• 45
• 130
• 045
• 135

Multiple Choice

What is
the Bearing
 of A
from B?

• 45
• 130
• 045
• 135

Multiple Choice

Find the bearing of A from B

• 135^o

• 315^o

• 045^o

• 45^o

Multiple Choice

What are Bearings in maths?

• A bearing is an angle, measured clockwise from the north direction.

• A bearing is an angle, measured counter - clockwise from the north direction.

• A bearing is an angle, measured clockwise from the east direction.

• A bearing is an angle, measured counter - clockwise from the east direction.

• Any normal angle

Multiple Choice

Find the shaded angle ABC

• 80^o

• 145^o

• 100^o

• 135^o