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: 

Prove: 

PROOF  
Statements  Reasons 
1.

1. ? 
2. ?  2. If two rays are

3.

3. ? 
4.

4. ? 
5.

5. Substitution 
6. ?  6. If the sum of the measures of two angles is

To find:
The complete formal proof of the given theorem.
Given:
The statement of given theorem is,
If the exterior sides of two adjacent acute angles form perpendicular rays, then these angles are complementary.
Given:
Prove:
The given figure is,
Definition:
If the sum of two angles is
Approach:
The formal proof of given theorem is explained in table below.
Statements  Reasons 
1. 
1. Given 
2. 
2. If two rays are 
3. 
3. The measure of a right angle is 
4. 
4. Angleaddition postulate 
5. 
5 
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