Q. 24.5( 2 Votes )

Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, A = 60°, B = 105° and D = 90°.

Answer :

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

i.e. A+B+C+D = 360°

C = 105°

Steps of construction:

Step I: Draw AB = 5.5 cm.

Step II: Construct XAB = 60° at A and ABY = 105°.

Step III: With B as the center and radius 3.7 cm, cut off BC = 3.7 cm.

Step IV: At C, draw BCZ = 105° such that it meets AX at D.

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