Posted by **Jack** on Wednesday, September 12, 2012 at 8:57pm.

Rays PQ and QR are perpindicular. Point S lies i the interior of angle PQR. If the measure of the angle SQR=4+7a and the measure of angle SQR=9=4a, find the measure of angle of PQS and angle SQR.

- geometry -
**Evangeline**, Tuesday, October 2, 2012 at 3:15pm
angle PQS + angle PQR= 90

so, 4+7a+9+4a=90

7a+4a=90-4-9

11a=77

a=7

check:

PQS= 4+7a

4+7(7)=53

PQR= 9+4a

=9+4(a)=37

53+37=90

- geometry -
**Evangeline**, Tuesday, October 2, 2012 at 3:16pm
angle PQS + angle SQR= 90

so, 4+7a+9+4a=90

7a+4a=90-4-9

11a=77

a=7

check:

PQS= 4+7a

4+7(7)=53

SQR= 9+4a

=9+4(a)=37

53+37=90

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