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

Answer 1

since they are perpendicular,

4+7a + 9+4a = 90
11a = 77
a = 7

so angle PQS = 4+7a = 4+49 = 53
and angle SQR = 9+4a =9+28 = 37

check: is 53+73 = 90 ? YES