Question

I need help with this question. I sent a photo as a reference just in case. Given angle < 3 and angle < 2 are complementary m<1 +m<2 = 90 degrees Prove angle 3 is congruent to angle 1.

Answer 1

If ∠3 and ∠2 are complementary angles, then the measure of ∠3 + the measure of ∠2 = 90 degrees.

Statements → Reasons

1. ∠3 and ∠2 are complementary → Given

2. m∠1 + m∠2 = 90 degrees → Given

3. ∠1 and ∠2 are complementary → Definition of Complementary Angles

4. ∠3 ≅ ∠1 → Congruent Complements Theorem