Question

In KING, l(KI) = 3.5 cm, l(IN) = 5.5 cm, l(NG) = 5 cm, m∠N = 75° and m∠I = 115°.

Answer 1

Given: l(KI) =3.5 cm, l(IN) =5.5 cm, l(NG) =5 cm, m$\angle$Y =75° and m$\angle$R =115°.
First, we draw a rough sketch of quadrilateral KING and indicate the given lengths, as shown below.

Steps of Construction:
(1) Draw a line segment KI of length 3.5 cm.

(2) Then, construct an angle of 115° at I and cut the point N, such that IN =5.5 cm.

(3) Now, construct an angle of 75° at N and cut the point G, such that NG = 5 cm. Then, join GK.

Thus, KING is the required quadrilateral.