# In Exercises 27 to 35, complete the formal proof of each theorem. If the exterior sides of two adjacent acute angles form perpendicular rays, then these angles are complementary. Given: B A → ⊥ B C → Prove: ∠ 1 is complementary to ∠ 2 PROOF Statements Reasons 1. B A → ⊥ B C → 1. ? 2. ? 2. If two rays are ⊥ , then they meet to form a right ∠ 3. m ∠ A B C = 90 ° 3. ? 4. m ∠ A B C = 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

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

#### Solutions

Chapter
Section
Chapter 1.5, Problem 31E
Textbook Problem

## Expert Solution

### Want to see the full answer?

Check out a sample textbook solution.See solution

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Solution

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.