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In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is 4x - 3 degrees, find x.

In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is-example-1

1 Answer

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Assuming an isosceles trapezoid

the sum of the inner angles of a trapezoid is 360°

then


360=2(BAC)+2(DCA)
360=2(BAC+DCA)
180=(BAC+DCA)
180=(x-2)+(4x-3)
180=5x-5
180+5=5x
185=5x
(185)/(5)=x
x=37

x=37

correct answer

Option D

In the trapezoid below, if < BAC = x - 2 degrees and the measure of < DCA is-example-1
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