Angle Relationships

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# Angle Relationships - PowerPoint PPT Presentation

Angle Relationships. Section 1.7. Warm Up Simplify each expression. 1. 90 – ( x + 20) 2. 180 – (3 x – 10) Write an algebraic expression for each of the following. 3. 4 more than twice a number 4. 6 less than half a number.

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### Angle Relationships

Section 1.7

Warm Up

Simplify each expression.

1.90 –(x + 20)

2. 180 – (3x – 10)

Write an algebraic expression for each of the following.

3. 4 more than twice a number

4. 6 less than half a number

Name:

• 2. Linear pairs
• 3. Vertical ∠’s
Supplementary Angles
• Angles that add up to 180 degrees.
Complementary Angles
• Angles that add up to 90 degrees.

Find the measure of each of the following.

A. complement of F

B. supplement of G

Find the measure of each of the following.

a. complement of E

b. supplement of F

FIND the MEASURE of each angle.

1. ∠ SOT

2. ∠ POU

3. ∠ ROS

4. ∠ POR

5. ∠ SOU

6. ∠ TOU

7. ∠ POS

8. ∠ UOQ

A. Name 2 pairs of vertical angles.

• B. If ray BF bisects ∠ABC, what two angles must be equal.
• C. Classify each as acute, obtuse, right or straight.
• 1. ∠BAF
• 2. ∠FCE
• 3. ∠BFA

An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement.

An angle’s measure is 12° more than the measure of its supplement. Find the measure of the angle.

Lesson Quiz: Part I

• mA= 64.1°, and mB=(4x – 30)°. Find the measure of each of the following.
• supplement of A
• 2. complement of B
• 3. Determine whether this statement is true or false. If false, explain why. If two angles are complementary and congruent, then the measure of each is 90°.

mXYZ = 2x° and mPQR = (8x - 20)°.

4. If XYZ and PQR are supplementary, find the measure of each angle.

5. If XYZ and PQR are complementary, find the measure of each angle.