In the proof below, provide the missing reasons.
Given: 

Prove: 

PROOF  
Statements  Reasons  
1.

1. ?  
(1)  2.

2. ? 
3.

3. ?  
(3)  4. Where

4. ? 
(2)  5.

5. ? 
(5)  6.

6. ? 
(4)  7.

7. ? 
(7)  8.

8. ? 
(7), (8)  9.

9. ? 
(6), (9)  10.

10. ? 
(10)  11.

11. ? 
To state:
The reasons for given statements.
Given:
Two complementary angles
Approach:
If the sum of two angles is
Calculation:
The reasons for given statements is explained in table below.
Statements  Reasons 
1. 
1. Given 
2. 
2. The sum of measures of complementary angles 
3. 
3. Given 
4. Where 
4. 
5. 
5. Substitute x for 
6. 
6. Subtract x from both sides. 
7. 
7. Substitution 
8. 
8. Add 
9. 
9. If 
10. 
10. Substitute 
11. 
11. If 
Table 1
Conclusion:
The reasons for given statement is shown in Table 1
Elementary Geometry For College Students, 7e
Elements Of Modern Algebra
Trigonometry (MindTap Course List)
Mathematical Applications for the Management, Life, and Social Sciences
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Multivariable Calculus
Calculus (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Single Variable Calculus: Early Transcendentals, Volume I
Elementary Technical Mathematics
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: Early Transcendentals
Essentials Of Statistics
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Probability and Statistics for Engineering and the Sciences
Statistics for The Behavioral Sciences (MindTap Course List)
Calculus of a Single Variable
Single Variable Calculus
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Single Variable Calculus: Early Transcendentals
Understanding Basic Statistics
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus: Early Transcendental Functions
Intermediate Algebra
Study Guide for Stewart's Multivariable Calculus, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Introduction To Statistics And Data Analysis
Calculus (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICSTEXT
Multivariable Calculus
Statistics for Business & Economics, Revised (MindTap Course List)
College Algebra (MindTap Course List)
Mathematics For Machine Technology