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°.
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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