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Question

Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, A=75,B=105 and C=120.

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Solution

Sum of all angles of a quadrilateral add upto 360.
A , B and C add upto 300.
Thus the value of D should be 60.
Step 1: Draw AB = 3.5 cm.
Step 2: Draw DAB=75,ABC=105 at B.
Step 3: Draw BC = 6.5 cm.
Step 4: At D draw ADC=60.
Step 5: Extend the line and mark the point of intersection as C to get the quadrilateral ABCD.

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