Question

Construct a quadrilateral MORE, in which MO = 6 cm., OR = 4.5 cm., ∠M = 60°, ∠O = 105° and ∠R = 105°.

Answer 1

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

Steps of Construction

(i) First of all we draw a line segment MO = 6 cm.

(ii) At point M and O construct ∠MOY 105° and ∠OMX = 60° with MO respectively.

(iii) Cut an arc of 4.5 cm from point O on ray OY and mark the point as R.

(iv) At point M construct ∠OME = 60° with OM. Intersecting MX at E.

(v) Thus we. obtained required quadrilateral MORE.