Answer:
The required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].
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.
[tex]\angle W+\angle X=180^{\circ}[/tex] .... (1)
It is also given that the measure of X is three times the measure of W.
[tex]\angle X=3\angle W[/tex]
Substitute this value in equation 1.
[tex]\angle W+3\angle W=180^{\circ}[/tex]
[tex]4\angle W=180^{\circ}[/tex]
[tex]\angle W=45^{\circ}[/tex]
Substitute this value in equation 1.
[tex]\angle W=135^{\circ}[/tex]
Therefore the required equation is [tex]\angle W+3\angle W=180^{\circ}[/tex].
