Answer:
132 degrees.
Step-by-step explanation:
Line PQS is 180 degrees and angle PQR and angle PRS are supplementary. Since you know this, both of these equations must equal 180 degrees.
(3x-6) +(x+2) = 180
Above is your equation to find X. This is only one part because you need to find the missing value, X. So now you need to solve for x. Assuming you know how to isolate x, you should get:
x = 46
Now the question asks for the angle of line PQR. As you can see in the graph, line PQR is the (3x-6). Since you now know what x is, you can plug in x with 46.
3(46)-6 = 132
Angle PQR is 132 degrees.
