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Question

Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm, A=50, B=105 and D=80.


Solution

Steps of Construction :

   A=50,   B=105  and  D=80and   A+B+C+D=360   50+105+C+80=360   C+235=360   C=360235C=125

(i) Draw a line segment AB 5.6 cm.

(ii) At B, draw a ray BY making an angle of 105 and cut off BC = 4 cm.

(iii) At C, draw a ray CZ making an angle of 125 and at A, a ray AX making an angle of 50  intersecting each other at D.

then D=80

ABCD is the required quadrilateral.

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