Question

Find the value of x, y, and z in the parallelogram below.

Answer 1

The values of x, y, and z of the parallelogram are -19°, -115° and 27°

What is a parallelogram?

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

for a parallelogram opposite angles are equal

-4x -1 = 75

-4x = 76

x = 76/-4

x = -19°

sum of adjacent angles are supplementary

(-y-10) + 75 = 180

-y + 65 = 180

-y = 180 - 65

-y = 115

y = -115°

Also

4z - 3 + 75 = 180

4z + 72 = 180

4z = 180 - 72

4z = 108

z = 108/4

z = 27°

In conclusion, the values of x = -19, y = -115, z = 27

Learn more about Parallelogram: brainly.com/question/20526916

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