Geometry Proof - please help

Question

Step 1: Draw a right triangle. Label the acute angles as angles A and B. Label the right angle as angle C.

Step 2: Prove the acute angles of a right triangle are complementary.

Given: Triangle ABC with angle C a right angle

Prove: Angle A and angle B are complementary

Statements:

1. Triangle ABC
2. Angle C is a right angle
3. 
   
4. 
   
5. 
   

Reasons:

1. Given
2. GIven
3. 
   
4. 
   
5. 
   

Answer 1

3 Angle C = 90 degrees (Reason: every right angle has measure 90 degrees)

4 A + B + C = 180 degrees (Reason: the sum of the measures of the angles of a triangle is 180)

5 A + B + 90 = 180 (Reason: substitution)

6 A + B = 90 (Reason: Subtraction property of equality)

7 A and B are complementary (Reason: Two angles whose sum is 90 degrees are complementary)