If one angel of a parallelogram is twice of its adjacent angel,find the angel of the parallelogram

2 answers

Hint:
adjacent angles of parallelgrams are supplementary, i.e. they add up to 180°.

For the given problem, if one angle is x, then the adjacent angle is 2x.
Since they are supplementary, we have
x+2x=180°.
Solve for x and hence the angles of the parallelogram.
x=2y; x+y=180 => y+2y=180 => y=60 => x (angel) equals to 120;