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∠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) ∘ , then find the measure of \angle A∠A.

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devishri1977

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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