Q. 124.1( 23 Votes )

Construct a quadrilateral PQRS in which PQ=5cm, QR=6.5cm, P = R = 100° and S = 75° .

Answer :

Given :


PQ = 5 cm , QR = 6.5 cm , , ,


Answer :


Sum of all angles of a quadrilateral is 360





Construction :


Step 1 : Draw segment PQ of length 5 cm.



Step 2 : Draw angle PQC of 85 degrees.



Step 3 : Taking Q as centre draw arc of radius 6.5 cm which cuts the segment QC. Point of intersection is R.



Step 4 : Draw angle QRF of 100 degrees.



Step 5 : Draw angle QPG of 100 degrees.



Step 6 : Point of intersection of segments PG and RF is S



PQRS is the required quadrilateral.

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