Question

Construct a quadrilateral ABCD in which
AB = 4.8cm, AC = 5.8cm, AD = 3.6cm, ∠A = 105° and ∠B = 60°

Answer 1

AB = 4.8cm, AC = 5.8cm, AD = 3.6cm, ∠A = 105° and ∠B = 60°

Steps of Construction:
1) Draw a line segment AB = 4.8cm.
2) With A as centre draw rays X and Y to make angles 60° and 90° with AB produced. Then bisect the angle between them to make an angle of 105° with AB.
3) With A as centre and radius 3.6cm cut an arc on line segment making 105° angles wit hAB and mark it as D.
4) With B as centre draw a ray making and angle of 60° with AB
5) With A as centre and radius 5.8cm cut an arc on the ray from B an mark the point as C.
6) Join BC and DC.
7) ABCD is the required quadrilateral.