Question

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

Answer 1

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

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 $E$.

Hence, this is our required quadrilateral $MORE.$