Question

Construct a quadrilateral KLMN, in which KL = 4.8 cm., LM = 5.0 cm., MN = 3.8 cm., ∠L = 72°, ∠M = 105°.

Answer 1

First of all we draw a rough sketch of the given measurements :

Steps of Construction

1. First of all, draw a line segment KL = 4.8 cm.
2. At point, L construct ∠KLX = 72°. We cut an arc of 5.0 cm on LX from point L. Mark the point as M.
3. AT point M construct ∠LMN = 105° and cut arc MN = 3.8 cm on MY. Mark the point as N.
4. Join KN.

Thus, KLMN is a required quadrilateral.