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

the answer is 178 degrees I did this assignmentttt

Answer 2

∠B = 178º

Explanation:

Alternate interior angles are congruent

8x + 78 = 2x + 114

Subtract 2x from both sides

6x + 78 = 114

Add 78 to both sides

6x = 192

Divde both sides by 6

x = 32

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∠B = 2x + 114

∠B = 2(32) + 114

∠B = 178º