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

3 answers

Draw PQ of length 8

Construct the two angles. Note that 105 = 60+45, 30 = 60/2. If you can construct a 45 or 60-degree angle, this will be easy. Where the line from Q intersects the line from P will be S.

Draw QS

Since PR=RS, R lies on the perpendicular bisector of QS. Construct that line segment.

Draw a circle of radius 9 with center at P. Where it intersects the perpendicular bisector of QS will be R.

google can help if you have difficulty with any of these steps.
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