Question

Question 6
Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.

Answer 1

Let each adjacent angle be x.
Since the adjacent angles in a parallelogram are supplementary.
$\therefore x+x={180}^{\circ }\Rightarrow 2x={180}^{\circ }\Rightarrow x=\frac{{180}^{\circ }}{2}={90}^{\circ }$
Hence, each adjacent angle is ${90}^{\circ }$