Two adjacent angles of a parallelogram are equal.

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 $90^{\circ}$.

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