Question

Construct a quadrilateral $ABCD$ with $AB=6cm,BC=8cm,$ $\angle A={75}^{\circ },\angle B={90}^{\circ },\angle C={45}^{\circ }$.

Answer 1

$\Rightarrow$ Draw a line segment AB = 6cm

$\Rightarrow$ Construct angles of 75${}^{\circ }$ and 90${}^{\circ }$ at points A and B.

$\Rightarrow$ Cut off BC = 8cm.

$\Rightarrow$ Construct angle of 45${}^{\circ }$ at point C in such way that it will cuts the arm of angle 75${}^{\circ }$ at point D.

$\Rightarrow$ Join AD.

Thus, ABCD is a required quadrilateral.