Question

∠A and \angle B∠B are complementary angles. If m\angle A=(8x+27)^{\circ}∠A=(8x+27)

Answer 1

Answer:

∠ B = 15°

Step-by-step explanation:

Complementary angles sum to 90° , that is

∠ A + ∠ B = 90 , substitute values

8x + 27 + 6x - 21 = 90

14x + 6 = 90 ( subtract 6 from both sides )

14x = 84 ( divide both sides by 14 )

x = 6

Thus

∠ B = 6x - 21 = 6(6) - 21 = 36 - 21 = 15°