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03-02-2021
Mathematics

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jimrgrant1 jimrgrant1

03-02-2021

Answer:

x = 6, ∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and congruent, so

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

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