Question:
Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?
Solution:
Let the required angle be $x^{\circ}$.
As the adjacent angles are equal, we have:
$x+x=180 \quad\left(s\right.$ ince the sum of adjacent angles of a parallelogram is $\left.180^{\circ}\right)$
$\Rightarrow 2 x=180$
$\Rightarrow x=\frac{180}{2}$
$\Rightarrow x=90^{\circ}$
Hence, the measure of each of the angles is $90^{\circ}$.