Problem

Complete the formal proof of the theorem.If the exterior sides of two adjacent acute angle...

Complete the formal proof of the theorem.

If the exterior sides of two adjacent acute angles form perpendicular rays, then these angles are complementary.

Given:

Prove:

∠1 is comp. to ∠ 2

PROOF

Statements

Reasons

1.

1. ?

2. ?

2. If two rays are ⊥, then they meet to form a rt. ∠

3. m ∠ ABC = 90

3. ?

4. m ∠ ABC = m ∠ 1 + m ∠ 2

4. ?

5. m ∠ 1 + m ∠ 2 = 90

5. Substitution

6. ?

6. If the sum of the measures of two angles is 90, then the angles are complementary

Step-by-Step Solution

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Solutions For Problems in Chapter 1.7