Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, P = R = 105° and S = 75°.

We know that the sum of all the angles in a quadrilateral is 360.


i.e., P+Q+R+S = 360°


Q = 75°


Steps of construction:


Step I: Draw PQ = 3.5 cm.



Step II: Construct XPQ = 75° and PQY = 75°.



Step III: With Q as the center and radius 6.5 cm, cut off QR = 6.5


Step IV: At R, draw QRZ = 105° such that it meets PX at S.



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