How to find an angle in a trapezoid

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Geometry › How to find an angle in a trapezoid

Questions 1 - 10

In the trapezoid below, find the degree measure of .

$76^\circ$

$86^\circ$

$153^\circ$

$93^\circ$

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.

In the trapezoid below, find the angle measurement of .

$153^\circ$

$85^\circ$

$104^\circ$

$39^\circ$

Explanation

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

is degrees.

In the trapezoid below, find the angle measurement of .

$143^\circ$

$153^\circ$

$133^\circ$

$123^\circ$

Explanation

All the interior angles in a trapezoid add up to .

is degrees.

In the trapezoid below, find the angle measurement of .

$155^\circ$

$145^\circ$

$165^\circ$

$135^\circ$

Explanation

All the interior angles in a trapezoid add up to .

is degrees.

In the trapezoid below, find the degree measurement of .

$74^\circ$

$64^\circ$

$54^\circ$

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.

In the trapezoid below, find the degree measurement of .

$102^\circ$

$92^\circ$

$82^\circ$

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.

In the trapezoid below, find the degree measurement of .

$116^\circ$

$96^\circ$

$106^\circ$

$86^\circ$

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.

In the trapezoid below, find the degree measurement of .

$93^\circ$

$83^\circ$

$73^\circ$

$103^\circ$

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.

In the trapezoid below, find the degree measurement of .

$105^\circ$

$95^\circ$

$115^\circ$

$85^\circ$

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.

In the trapezoid below, find the degree measurement of .

$85^\circ$

$75^\circ$

$65^\circ$

$105^\circ$

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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