There are a number of steps and rules you will need to understand in order to answer this question.
First, you need to find the measure of <PRQ. To do so, you need to recognize that <PRQ and <PRD are supplementary because they fall next to each other on the same straight line. The sum of two supplementary angles is 180:
115+<PRQ=180
<em>*Subtract 115 from both sides*</em>
<PRQ=65
Next, you can find the measure of <BPR. To do so, you need to recognize that <PRQ and <BPR are alternate interior angles because they fall on opposite sides of the same transversal. Alternate interior angles are congruent:
<PRQ=<BPR
<BPR=65
Finally, you can find the measure of angle x by again using supplementary angles. <APQ, x, and <BPR and supplementary angles because they fall next to each other on the same straight line:
62+65+x=180
127+x=180
<em>*Subtract 127 from both sides*</em>
x=53
Hope this helps!!
