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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