Question

Construct a quadrilateral $ABCD$, where $AB=4cm,BC=5cm,CD=6.5cm$ and angle $B={75}^o$ and angle $C={60}^o$

Answer 1

$\Rightarrow$ Draw a line segment $AB=4cm$

$\Rightarrow$ Take $B$ as center and draw an angle of ${75}^o.$

$\Rightarrow$ Cut off $BC=5cm$

$\Rightarrow$ Take $C$ as center and draw an angle of ${60}^o.$

$\Rightarrow$ Cut off $CD=6.5cm$

$\Rightarrow$ Join $DA$

$\therefore$ $ABCD$ is a required quafrilateral.