SOLUTION: Rays PQ and QR are perpendicular. Points S lies on the interior of <PQR . If M<PQS =4+7a and M<SQR=9+4a find m<PQS and M<SQR

Algebra ->  Angles -> SOLUTION: Rays PQ and QR are perpendicular. Points S lies on the interior of <PQR . If M<PQS =4+7a and M<SQR=9+4a find m<PQS and M<SQR       Log On


   

Question 501662: Rays PQ and QR are perpendicular. Points S lies on the interior of
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
If PQ and QR are perpendicular, they will add to 90 degrees.
4 + 7a + 9 + 4a = 90
13 + 11a = 90
11a = 77
a = 7
Angle PQS = 53
Angle SQR = 37
53 degrees + 37 degrees = 90 degrees.
This does check.
Cleomenius.