Question

The measure of two adjacent angle of a parallelogram are in the ratio $3:2$ to find the measure of each of the angle of the parallelogram

Answer 1

Adjacent angles of parallelogram = ${180}^{\circ }$ [As opposite sides of a parallelogram are parallel]
Let each angle be ${}^{\prime }{x}^{\prime }$
$3x+2x={180}^{\circ }$
$5x={180}^{\circ }$
$x=\frac{{180}^{\circ }}{5}$
$x={36}^{\circ }$
First angle $={36}^{\circ }\times 3={108}^{\circ }$
Second angle $={36}^{\circ }\times 2={72}^{\circ }$