Please help with this problem answer possibly?

Question

A∠A and ∠B∠B are complementary angles. If m∠A=(8x+27)∘∠A=(8x+27)∘ and m∠B=(6x−21)∘∠B=(6x−21)∘, then find the measure of ∠B∠B.???

Answer 1

When two angles are complementary, it means that they sum to 90°. So:

m∠A + m∠B = 90°

Substitute in the formulas for the two angles:

8x + 27 + 6x - 21 = 90

Solve for x then plug it into the formula (6x-21) for angle B to find the measure of angle B.