# Intermediate Geometry : How to find an angle in a trapezoid

## 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 .

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 .

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 .

Explanation:

All the interior angles in a trapezoid add up to .

is  degrees.

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

In the trapezoid below, find the angle measurement of .

Explanation:

All the interior angles in a trapezoid add up to .

is  degrees.

### Example Question #5 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Cannot be determined from the given information.

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 #6 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

Cannot be determined from the information given.

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 #7 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

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 #8 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

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 #9 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .

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 #10 : How To Find An Angle In A Trapezoid

In the trapezoid below, find the degree measurement of .