Guided Practice
1. What is the complement of 35°? ___°
2. What is the supplement of 115°? ___°
3. What is the complement of 75°? ___°
What is the measure of ∠STU in the diagram below?
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? _____°
What is the measure of ∠UTZ in the diagram below?
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 = ____°