Question

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

Answer 1

Steps of Construction:

1. Draw MO = 6 cm.
2. At O construct an angle of ${105}^{\circ }$ and draw a ray.
3. Draw an arc of radius 4.5 cm intersecting the ray at R.
4. At R construct an angle of ${105}^{\circ }$ and draw a ray.
5. At M construct an angle of ${60}^{\circ }$ and draw a ray.
6. Let these two rays intersect at a point. Let it be E.
7. Quadrilateral MORE is the required quadrilateral.