Question

Draw a quadrilateral :

ABCD in which AB = 6cm , BC = 5cm , Angle A = 55• , Angle B = 110• and angle D = 90 • .

( hint. angle C = 360• — ( Angle A + Angle B + Angle C ) .​

Answer 1

Answer: Given: AB = 6 cm, BC = 5cm, angle A = 55 degree, angle B = 110 degree and angle D = 90 degree.

Steps;

Angle sum property of a quadrilateral:

∠A + ∠B + ∠C + ∠D = 360 degree

55 + 110 + ∠C + 90 = 360 degree

∠C = 105 degree

1. Draw AB = 6 cm.

2. Take A as a centre construct an angle of 55 degrees and then from B make 110 degrees.

3. Take the measurement of BC = 5cm on the compass and cut the angle 110 line. Mark the point as C.

4. Now take C as a centre and construct 105 degrees.

5. The point where angle C and D will meet will be D.