Q1: In the figure above, PQRS is a parallelogram

2018 Test A Math · Question 1 of 57

Figure not available

In the figure above, PQRS is a parallelogram. What is the value of ?

Grid-in question: work out the answer and enter it as a number.

Show the answer

Correct answer: 162

First, find the measure of angle PQR. The measure of angle PQR is equal to the measure of angle PSR.

m∠PSR = 180 − 72 = 108.

So, the measure of angle PQR is also 108.

108 + 90 + x = 360

198 + x = 360

x = 162