Intermediate Geometry : How to find an angle in a trapezoid

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #281 : Plane Geometry

In the trapezoid below, find the degree measurement of .

11

Possible Answers:

Correct answer:

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to  degrees.

 and the angle measuring  degrees are adjacent angles that are supplementary.

Therefore, we can write the following equations and solve for y.

Example Question #11 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

12

Possible Answers:

Correct answer:

Explanation:

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to  degrees.

 and the angle measuring  degrees are adjacent angles that are supplementary.

Thus, we can write the following equation and solve for x.

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