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In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°

In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C-example-1

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Answer:

B

Explanation:

Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:

10x + 8 = 14x - 8

-4x + 8 = -8

-4x = -16

x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.

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