Question

If the ratio of measures of two adjacent angle of a parallelogram is $1:2$ find the measure of all angles of the parallelogram

Answer 1

Solution :-

In parallelogram, sum of adjacent angles $=180$

Given they are in ratio $1:2$.

$\therefore x+2x=180$

$\Rightarrow 3x=180$

$\Rightarrow x=60$

$\therefore$ the angles are ${60}^{\circ },{120}^{\circ },{60}^{\circ },{120}^{\circ }$