Plz ! i would really appreciate it

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

*Subtract 115 from both sides*

<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

*Subtract 127 from both sides*

x=53

Hope this helps!!

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