Angle Relationships

Angle Relationships

By Ms. McLean

Multiple Choice

This is what kind of angle?

• obtuse

• right

• straight

• acute

Multiple Choice

• Right

• Straight

• Acute

• Obtuse

Multiple Choice

A right angle is at what degree

• 180

• 20

• 90

• 80

Multiple Choice

What type of angle is shown?

• acute

• obtuse

• right

• straight

Multiple Choice

A straight angle is at what degree

• 180

• 20

• 90

• 80

Standard

​NC.7.G.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.

​Learning Objective

~ I can name and describe, complimentary, supplementary, vertical and adjacent angles

Subject | Subject

Some text here about the topic of discussion

​∠ WXY is complementary to ∠YXZ

• Two angles whose measures have a sum of 90°

• These angles will always form a right angle​

Multiple Choice

Find the missing angle.

• 74

• 66

• 35

• 16

Multiple Choice

Find the value of x.

• 18°

• 28°

• 38°

• 118°

​∠ HIJ is supplementary to ∠JIK

• Two angles whose measures have a sum of 180°

• These angles will always form a straight line

Multiple Choice

Find what the value of x.

• 118

• 108

• 28

• 58

Multiple Choice

Work out the size of the missing angle

• 25

• 55

• 125

• 205

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect

​∠ ACB and ∠ACD are adjacent

• Two angles that are side by side

• Have a common vertex and ray

• May or may not be congruent

• Linear pairs are adjacent angles formed by intersecting lines

• Linear pairs are supplementary (sum of 180°​

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

​∠ LMN and ∠ OMP AND ∠ LMO and ∠ NMP are vertical

• Two angles formed by two intersecting lines

• Always congruent

• Have the same angle measure

• These angles are always across from each other

Multiple Choice

What angle is vertical to angle 2?

• ∠4

• ∠1

• ∠2

• ∠5

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

What is the measure of ∠2?

• 38
• 58
• 71
• 142

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

​Writing an equation from angles

1. Identify the angle relationship

   -Complementary: the sum of the angles will equal 90

   -Supplementary: the sum of the angles will equal 180

   -Vertical: the angles will equal each other​

Write an equation and solve for x​

​

Write an equation and solve for x​

​

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25

• Complementary; x=5

• Supplementary; x=25

• Supplementary; x=5

Multiple Choice

Solve for x

• 20
• 25
• 120
• 180

Multiple Choice

Solve for x

• 5
• 90
• 25
• 10

Multiple Choice

Solve for x

• 6
• 140
• 20
• 90