Question

The adjacent angles of a parallelogram are in the ratio $2:1$. Find the measure of all angles.

Answer 1

Given adjacent angles of parallelogram are in ratio $2:1$.

Let the two angles be $2x$ and $x$`

The sum of adjacent angles of parallelogram is ${180}^{\circ }$

Thus,

$2x+x={180}^{\circ }$

$3x={180}^o$

$x={60}^o$

Thus two adjacent angles are ${120}^o$ and ${60}^o$.

& opposite angles of parallelogram are equal then angles of parallelogram are ${120}^{\circ },{120}^{\circ },{60}^{\circ }$ & ${60}^{\circ }$