What is the measure of Z in the parallelogram shown? A.190 B.90 C.150 D.30

Question

asked Nov 24, 2023 138k views

1 Answer

Ollifant · Answer 1 · 2023-11-29T05:48:40+0000

In order to solve this exercise it is important to know that a Parallelogram is.

A Parallelogram is a Quadrilateral. It is a closed flat shape that has four sides.

By definition, some of the properties of a Parallelogram are:

1. The lengths of its opposite sides are equal.

2. Its opposite sides are parallel.

3. The opposite angles are congruent (which means that they have equal measure).

In this case you have the Parallelogram WXYZ. You can identify that the angle X and the angle Z are opposite. Therefore:

$m\angle X=m\angle Z$

Knowing the measure of the angle X, you can determine that:

$m\angle Z=30\degree$

The answer is: Option B.