∠A and \angle B∠B are complementary angles. If m\angle A=(x+16)^{\circ}∠A=(x+16) ∘ and m\angle B=(x-12)^{\circ}∠B=(x−12) ∘ , the
n find the measure of \angle A∠A.
1 answer:
Answer:
Step-by-step explanation:
∠A + ∠B = 90 {∠A & ∠B are complementary}
x + 16 + x - 12 = 90
x + x + 16 - 12 = 90 {Combine like terms}
2x + 4 = 90 { Subtract 4 form both sides}
2x = 90 - 4
2x = 86 {divide both sides by 2
x = 86/2
x = 43
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