1. Proving Angle Pair Relationships
Geometry

2. If two angles form a linear pair, then they are supplementary.
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.

3. Proving Vertical Angles Theorem
Given: ∠5 and ∠6 are a linear pair ∠6 and ∠7 are a linear pair Prove: ∠5 ≅ ∠7

4. Vertical Angles Theorem
All vertical angles are congruent!

5. Example
The measure of angle 1 is 36 degrees. Find the measures of the other three angles.

6. Example Solve for x and y. Then find the angle measures. (4x + 15)

7. Example Given that ∠G is a supplement of ∠H and m∠G = 82°, find m∠H.
Given that ∠U is a complement of ∠V and m∠U = 73°, find m∠V.

8. Example
∠W and ∠Z are complementary. The m∠Z is five times the m∠W. Find m∠W.

9. Example
∠T and ∠S are supplementary. The m∠T is half the m∠S. Find m∠S.