using a pair of ruler and compasses only construct a quadrilateral PQRS such that /PQ/=8cm, QPS=105°,angle PQS=30°,/PR/=9cm, RS=RQ

Answer 1

I assume you know how to bisect an angle.
So, construct an equilateral triangle, with angles of 60°
Bisect one of those angles, and then again. That will give you angles of 30° and 15°
So.
Construct PQ of length 8
At P, construct angle of 105°
At Q, construct angle of 30°
Extend the sides of the angles to intersect at S.
Draw a circle with center at P, of radius 9.
Construct the perpendicular bisector of QS. It intersects the circle at R.

Answer 2

Yes

Answer 3

No answer