SOLUTION: Rays PQ and QR are perpendicular. Point S lies in the interior of angle PQR. If m angle PQS =4+7a and m angle SQR =9+4a, find m angle PQS and m angle SQR.

Question 485875: Rays PQ and QR are perpendicular. Point S lies in the interior of angle PQR. If m angle PQS =4+7a and m angle SQR =9+4a, find m angle PQS and m angle SQR.
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
The lines are perpendicular, so angle PQR is 90 degrees.
Therefore, set an equation 4 + 7a + 9 + 4a = 90 degrees.
13 + 11a = 90 degrees.
11a = 77 degrees.
a = 7 degrees.
7 * 7 = 49 + 4 = 53
7 * 4 = 28 + 9 = 37
37 + 53 = 90.
Cleomenius.
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