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Basically I have to find the measure of each angle

Basically I have to find the measure of each angle-example-1

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We are required to find the value of t in the given figure

(4t + 16) = (5t - 21) ----------------Vertically opposite angles are equal

4t + 16 = 5t - 21

4t - 5t = -21 - 16

-t = -37

Divide both sides by -1

t = 37

The value of t is 37

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