Basic Angle Relationships

Angle Relationships

Complementary and

Supplementary Angles

Today's Objective

Determine the measures of unknown angles using equations and angle relationships.

LINE

LINE SEGMENT

 $\overline{AB}$  

RAY

ANGLE

Rewind!

How do we name the figures?

Multiple Choice

Name the figure.

• Angle AB

• Line Segment AB

• Ray BA

• Line Segment BA

• Ray AB

Multiple Choice

Which term describes two rays with a common endpoint?

• Angle

• Ray

• Line segment

• Line

• Vertex

Multiple Select

What is the vertex of this angle?

• Point A

• Point B

• Point C

Multiple Select

This angle can be written as ______.

HINT: Select more than one answer.

• ∠ABC

• ∠ACB

• ∠CBA

• ∠CAB

• ∠B

Multiple Choice

Given angle  $$\angle GHI$$ , what's the vertex?

• G

• H

• I

• None

COMPLEMENTARY

ANGLES

Two angles are complementary if the sum (+) of the two angles = 90°.

SUPPLEMENTARY

ANGLES

Two angles are supplementary if the sum (+) of the two angles = 180°.

Multiple Choice

This picture shows

• an acute angle

• a parallel line

• a right angle

• two line segments

Fill in the Blanks

 Find the missing angle.  

(Type your answer in number form.)

Multiple Choice

What is the measure of the missing angle?

• 39

• 129

• 119

• 129

Fill in the Blanks

If m $\angle2$  = $113\degree$ , what is the m $\angle1$ ?  (Type your answer in number form.)

Multiple Choice

Solve for x.

• x = 118

• x = 108

• x = 28

• x = 58

Multiple Choice

What is the value of "x"?

• 19

• 20

• 21

• 22

Multiple Choice

Find the value of x.

• 14

• 112

• 108

• 104

Notice and Wonder

Take 60 seconds to jot down

two things you notice and

one thing you wonder.

More Angle Relationships

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Multiple Choice

If m∠1 = 30°, then m∠3 =

• 30°

• 60°

• 150°

• undetermined

Multiple Choice

What is the measure of angle B?

• 100°

• 80°

• 90°

• 180°

Multiple Choice

What is the measure of angle A?

• 100°

• 80°

• 90°

• 180°

Fill in the Blanks

What is the measure of  $\angle RTQ$ ? 

(Type your answer in number form.)

Problem Set 1

• 1. Use an equation to solve for x.

• 2. What is the measure of angle 1?

• 3. What is the measure of angle 2?

Problem Set 2

Today's Takeaways