Question

If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram

Answer 1

Let one angle of parallelogram$=x$

Adjacent angle of parallelogram$=180-x$

According to problem

$x=\frac{4}{5}(180-x)$

$5x=720-4x$

$9x=720$

$x={80}^o$

One angle$={80}^o$

Adjacent angle$={100}^o$.