Question

PLEASE PLEASE HELP

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

Answer 1

1)The sum of the angles A B C is 180 degrees (a line). Reason: All triangles have this property.
2) 2 right angles are supplementary (add up to a line). Reason: If we have a normal to a line, the two resulting angles are right and they add up to a line.
3) A is supplementary to the sum of B and C. Reason: 1)
4) A right angle is supplementary to A. Reason: 2)
5) The sum of B and C is a right angle. Hence, B and C are complimentary. Reason: This results from 3 and 4 and congruency of angles.