Angle Review Lesson

Angle Facts

Learning outcomes

Review and apply basic angle facts

Find missing angles in angle problems

What is an angle?

An angle is formed by two line segments that join to form a vertex.

It is a measure of turn and is typically expressed

in degrees or radians

Types of ANgles

Acute

Right angle

Obtuse

Reflex

An angle less

than 90˚

An angle that is

exactly 90˚

An angle that is

between

90˚and 180˚

An angle that is

between

180˚and 360˚

Shown below are the different types of angles:

Multiple Choice

Identify the type of angle shown....

• Acute

• Obtuse

• Reflex

• Right Angle

Multiple Select

Identify all the OBTUSE angles...

• 87^o

• 245^o

• 303^o

• 164^o

• 95^o

Multiple Choice

Identify the type of angle shown....

• Acute

• Obtuse

• Reflex

• Right Angle

Multiple Select

Identify all the ACUTE angles...

• 37^o

• 135^o

• 23^o

• 4^o

• 175^o

angle facts

review

Right Angles

Angles in a right
angle sum to 90˚

Straight Line

Adjacent angles on a

straight line sum to 180˚

Multiple Choice

Find the value of ∠A.

• 25°
• 30°
• 35°
• 90°

Multiple Choice

A straight angle is ...

• An angle that is exactly equal to 90 degrees

• An angle that is greater than 90 degrees but less than 180 degrees

• An angle that is less than 90 degrees

• An angle that is exactly equal to 180 degrees

At a Point

Angles at a point

sum to 360˚

Vertically Opposite

Vertically opposite
angles are equal

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

What is the value of the unknown angle?

• 232

• 233

• 122

• 52

Supplementary

Complementary

Two angles (or more) are called
complementary when their sum
adds up to 90 degrees or a right

angle.

Two angles (or more) are called
supplementary when their sum
adds up to 180 degrees. It means

they form a straight line.

Alternate

Alternate angles have

the same size.

Corresponding

Corresponding angles

of parallel lines are

equal.

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 kind of angles are shown?

• complementary
• supplementary
• adjacent
• corresponding

Multiple Choice

What is the measure of the missing angle?

• 92
• 102
• 82
• 72

Multiple Choice

If the  $$m\angle5\ =\ 63\degree,$$  find the measure of  $$\angle3.$$  

• $$63\degree$$  

• $$117\degree$$  

• $$180\degree$$  

• Cannot be determined

Multiple Choice

Find the measure of angle 1

• 37

• 143

• 180

• 47

Multiple Choice

If m∠1 = 30°, then m∠3 = 

• 30°
• 60°
• 150°
• undetermined

Cointerior

Cointerior angles of

parallel lines are
supplementary

The Exterior Angles of a
Polygon add up to 360°

External angles

Polygons

Triangle

Quadrilateral

Angles in a triangle

sum to 180˚

Angles in a quadrilateral

sum to 360˚

Multiple Choice

Find the value of angle x

• 60

• 30

• 20

Multiple Choice

Find the value of angle x

• 60

• 45

• 300

• 280

Multiple Choice

Find the value of the angle marked p

• 60

• 50

• 40

• 70

Multiple Choice

Find the value of the angle marked x

• 54

• 64

• 126

• 72

Multiple Choice

Find the value of the angle marked a

• 42

• 32

• 48

• 38

Multiple Choice

Which angle rule would you use to solve this?

• Vertically opposite angles are equal

• Alternate angles are equal

• Co-interior angles add up to 180^o

• Corresponding angles are equal