Prove the following theorem: the acute angles of a right triangle are complementary. given: δabc with right angle c prove: ∠a and ∠b are complementary how do you do a paragraph proof for this problem in 5 steps?

1. ∠C = 90° (given)

2. ∠A + ∠B + ∠C = 180° (Sum of ∠s in triangle)

3. ∠A + ∠B +90° = 180° (Substitution)

4. ∠A + ∠B = 90° (Algebra)

5. ∠A and ∠B are complementary (Def of complementary angles)

You could also construct an exterior angle from ∠C and prove it that way but that might be longer and more complicated.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )