Guided Practice

1. What is the complement of 35°? ___°

2. What is the supplement of 115°? ___°

3. What is the complement of 75°? ___°

Check it out!

What is the measure of ∠STU in the diagram below?

Line Z to S and line W to U intersect at a common point T

4. ∠WTZ has a measure of 18°. What is the relationship between ∠STU and ∠WTZ?

Vertical or Linear Pair?

STU and WTZ are vertical angles. Which equation expresses their mathematical relationship?

m∠STU + m∠WTZ = 180° or m∠STU = m∠WTZ

5. Vertical angles are equal in measure, so m∠STU = m∠WTZ is correct. Try answering the question now. What is the measure of ∠STU? _____°

Check it out!

What is the measure of ∠UTZ in the diagram below?

Line Z to S and line W to U intersect at a common point T

6. ∠WTZ has a measure of 18°. What is the relationship between ∠UTZ and ∠WTZ?

7. ∠UTZ and ∠WTZ form a linear pair. Which equation expresses their mathematical relationship?

m∠UTZ + m∠WTZ = 180° or m∠UTZ = m∠WTZ

8. Supplementary angles sum to 180°, so m∠UTZ + m∠WTZ = 180° is correct. Work through the problem below.

m∠UTZ + ____° = 180°

m∠UTZ = ____°

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