Question

In a parallelogram WXYZ , W and X are adjacent interior angles the measure of X is three times the measure of W which equation gives the exact measure of W

Answer 1

Answer:

The required equation is $\angle W+3\angle W=180^{\circ}$.

Step-by-step explanation:

Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.

According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.

$\angle W+\angle X=180^{\circ}$            .... (1)

It is also given that the measure of X is three times the measure of W.

$\angle X=3\angle W$

Substitute this value in equation 1.

$\angle W+3\angle W=180^{\circ}$

$4\angle W=180^{\circ}$

$\angle W=45^{\circ}$

Substitute this value in equation 1.

$\angle W=135^{\circ}$

Therefore the required equation is $\angle W+3\angle W=180^{\circ}$.