Question

Construct a quadrilateral $ABCD$ such that $AB=3cm,BC=4cm,$ $\angle A={90}^O$ , $\angle B={65}^o$ and $\angle C={110}^o$.

Answer 1

$\Rightarrow$ Draw a line segment BC = 4cm.

$\Rightarrow$ At B and C, construct $\angle$65${}^{\circ }$ and $\angle$110${}^{\circ }$, respectively.

$\Rightarrow$ Cut off BA =3cm.

$\Rightarrow$ Construct an angle of 90${}^{\circ }$ at A and let it meet CD at D.

Thus, ABcD is required quadrilateral.