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∠A and \angle B∠B are complementary angles. If m\angle A=(8x-28)^{\circ}∠A=(8x−28) and measure of angle B=(8x+22) ∠B=(8x+22) ,then find the measure of angle B∠B.

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loumast

Answer:

Step-by-step explanation:

Basically we want to find x and then plug that in for angle B.  How do we find x?  Well, we know the angles are complimentary, which means theya dd to 90, so let's start with that.

A + B = 90

8x - 28 + 8x + 22 = 90

16x -6 = 90

16x = 96

x = 6

So there we go.  Now to find B

B

8x+22

8(6)+22

48 + 22

70

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