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

## Answer This Question

## Related Questions

- geometry - raise pq and qr are perpendicular point s lies in the interior of ...
- geometry - I"m stuck on this question "Rays PQ and QR ae perpendicular.Point S ...
- geometry - Rays PQ and QR are perpindicular. Point S lies on the interior of ...
- Geometry - Rays PQ and QR are perpendicular. p;oint S lies in the interior of ...
- Algebra - Rays PQ and QR are perpendicular. Point S lies in the interior of ...
- Algebra - Rays PQ and QR are perpendicular. Point S lies in the interior of ...
- geometry - in an isosceles trapezoid, ABCD, AD congruent BC. diagonal AC ...
- geometry - Lines BA and BC are opposite rays, Lines BD bisects angle EBC and ...
- Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...
- geometry - angle A, B, C, D are related the measure of anle B is 1/2 the measure...

More Related Questions