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If ∠A=8x+14∠A=8x+14 and ∠B=2x+50∠B=2x+50, what is m∠Bm∠B?

User Magcus
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1 Answer

4 votes

Answer:

Explanation:

If ∠A=8x+14 and ∠B=2x+50 are supplementary, then the sum of both angles is 180.

∠A + ∠B = 180

8x+14 + 2x+50 = 180

10x + 64 = 180

10x = 180-64

10x = 116

x = 11.6

To get m∠B, substitute x = 11.6 into m∠B = 2x+50

m∠B = 2(11.6)+50

m∠B = 23.2+50

m∠B = 73.2°

User Strblr
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