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Find value of x in trapezoid

Find value of x in trapezoid-example-1

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Answer:

x = 1

Explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

Supplementary angles

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

(43x +2)° +135° = 180°

43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

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Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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User Gregory Higley
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