Question

Proof Practice

Given: ∠ PQR and ∠ XYZ are complementary
m ∠ XYZ = 10 degrees

Prove: m ∠ PQR = 80 degrees

5 statements and Reasons needed

Answer 1

1. Given (angle PQR and angle XYZ are complimentary)

2. Definition of complimentary angles (Complimentary means they are added to 90 degrees)

3. Definition of Complimentary angles (Complimentary angles only include two angles)

4. Subtraction postulate (90 degrees - 10 degrees= 80 degrees which proves they are complimentary)

5. Complimentary angles theorem (angle XYZ is 80 degrees)

Sorry if that's too vague, but I really hope this helps you! I bet someone elses answer would clear it up better, so more research or finding a different answer would probably help, just to confirm. I tried to explain as much as I could, I'm not good at teaching what I know.