Intermediate Geometry Help » Plane Geometry » Quadrilaterals » Trapezoids » How to find an angle in a trapezoid

In the trapezoid below, find the degree measure of 

*
.

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*


*


*


*


*


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.

*

*


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.

*

*


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.

*

*


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.

*

*


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.

*

*


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.

*

*


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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*

*


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