Question

∠A=8x+78

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start color #11accd, angle, A, equals, 8, x, plus, 78, degrees, end color #11accd \qquad \green{\angle B=2x + 114^\circ}∠B=2x+114


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Answer 1

<B is 126degrees

Explanation:

Find the diagram attached. From the diagram, <A = <B (corresponding angle)

Given

<A = 8x + 78

<B = 2x+114

Equating both expressions

8x+78 =2x + 114

8x-2x = 114 - 78

6x = 36

x = 36/6

x = 6

Get <B

Recall that <B = 2x+114

<B = 2(6) + 114

<B = 12 +114

<B = 126degrees

Hence the measure of <B is 126degrees