Question

∠A and \angle B∠B are complementary angles. If m\angle A=(7x+28)^{\circ}∠A=(7x+28)

∘
and m\angle B=(8x+2)^{\circ}∠B=(8x+2)
∘
, then find the measure of \angle A∠A.

Answer 1

m< A = 56 degrees.

Explanation:

8x + 2 + 7x + 28 = 90

15x + 30 = 90

15x = 60

x = 4

m< A = 7(4) +28

m< A = 28 + 28

m< A = 56 degrees.