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Find the measure of AEF

Find the measure of AEF-example-1

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Explanation:

angle AEF is the supplementary angle of angle GEF. that means together they have 180°.

angle AEF = 180 - angle GEF

angle GEF = 180 - angle AEF

and the sum of all angles inside a triangle is airways 180°.

180 = 40 + (-2 + 20x) + (180 - (27x + 3))

140 = -2 + 20x + 180 - 27x - 3

-35 = -7x

x = 5

the angle AEF = 27×5 + 3 = 138°

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