Question

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, and m∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answer 1

Complementary angles add to 90 degrees.

3x+5+2x-15=90
5x-10=90
5x=100
x=20 <=======

Plug in the value of x
3(20)+5
60+5
65= angle A <========

2(20)-15
40-15
25= angle B <========