Question

The measure of one angle of a parallelogram is ${80}^{\circ }$. What are the measures of the remaining angles?

Answer 1

In a parallelogram opposite angles are equal and opposite sides are parallel. thus two angles on the same side are supplementary
therefore, in the parallelogram
the angle opposite to the 80* will be 80*
and the other two angles will be
2x + 2(80*) = 360*
2x = 360* - 160*
x = 200*/2 = 100*
The angles of parallelogram are 100,80,100,80