Intermediate Geometry : How to find an angle in a trapezoid

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #1 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measure of .

1

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.

Example Question #2 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the angle measurement of .

2

Possible Answers:

Correct answer:

Explanation:

In a trapezoid, all the interior angles add up to  degrees.

 is  degrees.

Example Question #3 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the angle measurement of .

3

Possible Answers:

Correct answer:

Explanation:

All the interior angles in a trapezoid add up to .

 is  degrees.

Example Question #275 : Intermediate Geometry

In the trapezoid below, find the angle measurement of .

4

Possible Answers:

Correct answer:

Explanation:

All the interior angles in a trapezoid add up to .

 is  degrees.

Example Question #281 : Intermediate Geometry

In the trapezoid below, find the degree measurement of .

5

Possible Answers:

Cannot be determined from the given information.

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.

Example Question #282 : Intermediate Geometry

In the trapezoid below, find the degree measurement of .

6

Possible Answers:

Cannot be determined from the information given.

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.

Example Question #283 : Intermediate Geometry

In the trapezoid below, find the degree measurement of .

7

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.

Example Question #284 : Intermediate Geometry

In the trapezoid below, find the degree measurement of .

8

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.

Example Question #285 : Intermediate Geometry

In the trapezoid below, find the degree measurement of .

9

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 equation and solve for a.

Example Question #4 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

10

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 equation and solve for z.

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