Question

Construct the quadrilateral MORE where
MO = 6 cm, OR = 4.5 cm, $\angle M={60}^{\circ },\angle O={105}^{\circ }\angle R={105}^{\circ }$

Answer 1

Given MO=6cm, OR = 4.5 cm, $\angle M={60}^{\circ },\angle O={105}^{\circ }\angle R={105}^{\circ }$

To construct: A quadrilateral MORE.

Steps of construction:

(a) Draw a line segment MO = 6cm.

(b) Construct $\angle O={105}^{\circ }$ and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.

(c) Also construct an angle ${105}^{\circ }$ at R and produce the side RE.

(d) Construct another angle of ${60}^{\circ }$ at point M and produce the side ME. Both sides ME and RE intersect at E.