In Exercise 11 and 12, provide the missing statements and reasons.
Given: 

Prove: 

PROOF  
Statements  Reasons 
1.

1. ? 
2. ? and ?  2. If two

3.

3. ? 
4. ?  4. The sum of the measures of complementary

5.

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

To find:
The missing statements and reasons.
Given:
The given figure is,
Figure (1)
And,
The given table is shown below.
PROOF  
Statements  Reasons 
1. 
1. ? 
2. ? and ?  2. If two 
3. 
3. ? 
4. ?  4. The sum of the measures of complementary 
5. 
5. ? 
6. ?  6. If the sum of the measures of two angles is 
Approach:
1. The perpendicular lines are two lines that meet to form congruent adjacent angles.
2. If two lines are perpendicular, then they meet to form right angles.
3. If two angles are congruent, their measures are equal.
4. The symmetric property for the congruence of angles is satisfied, If
5. If the sum of the measures of two angles is
Calculation:
The reason for the first statement of the proof is “Given”, so the first statement is given as,
And,
The reason for the second statement of the proof is, “If two
And,
So, the second statements is,
And,
The reason for the third statement of the proof is “Given”. So, the statement is
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