Question

If an angle of a parallelogram is half of its adjacent angle, find the angles of the parallelogram. [2 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 1 Mark

Let the angle be $x$

Since it is half of the adjacent angle, said adjacent angle will be $2x$

Since adjacent angles of a parallelogram are supplementary,


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

$3x={180}^{\circ }$

$x={60}^{\circ }$

Therefore, the angles of the paralellogram are ${60}^{\circ }$ and ${120}^{\circ }$