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Answer:
x = 15, ∠ B = 108°
Step-by-step explanation:
∠ A and ∠ B are alternate exterior angles and congruent, so
6x + 18 = x + 93 ( subtract x from both sides )
5x + 18 = 93 ( subtract 18 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
Then
∠ B = x + 93 = 15 + 103 = 108°