Question

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

Answer 1

Steps of construction :

$\Rightarrow$ Draw line segment MO = 6cm.

$\Rightarrow$ At M and O, construct $\angle$60${}^{\circ }$ and $\angle$105${}^{\circ }$, respectively.

$\Rightarrow$ Cut off OR = 4.5cm.

$\Rightarrow$ Construct an angle of 105${}^{\circ }$ at R and let it meet ME at E.

$\Rightarrow$ Join RE.

Thus, MORE is required quadrilateral.