Homework Help: geometry

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 - Rays PQ and QR are perpindicular. Point S lies on the interior of ...
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 ...
Geometry - Rays PQ and QR are perpendicular. p;oint S lies in the interior of ...
Matthews - rays pq and qr are perpendicular. point s lies in the interior of &...
geometry - in triangle PQR ~ -- ~ -- if m<P = PQ = QR. 4x + 50, m<...
Trig - The lengths QR, RP, and PQ in triangle PQR are often denoted p, q, and r...
geometry - Triangles ABC and PQR are similar with m angle A = m angle P and m ...
Algebra - In triangle PQR shown, point S (not shown)is on QR between Q and R. ...
geometry - in triangle PQR,line segment PQ is = and congruent to line segment QR...

For Further Reading

First Name:
School Subject:
Answer: