Question

In the above figure, m∠A = 32° and m∠B = (2x + 14)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B? A. x = 22, m∠B = 44° B. x = 22, m∠B = 58° C. x = 67, m∠B = 148° D. x = 54, m∠B = 58°

Answer 1

Complementary angles have a sum of 90

32+2x+14=90

2x+46=90

2x=44

x=22 the second angle is 58

2(22)+14=58