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Question
Construct a quadrilateral ABCD, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.
Solution
Steps of Construction:
Step I: Draw AB = 8 cm .
\[\text { Step II: Construct } \angle BAD = 45^\circ. \]
Step III : With A as the centre and radius 10 cm, cut off AD = 10 cm .
Step IV: With D as the centre and radius 10 cm, draw an arc .
Step V : With B as the centre and radius 8 cm, draw an arc to intersect the arc drawn in Step IV at C .
Step VI: Join BC and CD to obtained the required quadrilateral .
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