Question

Two adjacent angles of a parallelogram are equal. What is the measure of each angle?

Answer 1

Given:

• Adjacent angles of parallelogram are equal

Known:

• Sum of adjacent angles of parallelogram$={180}^{\circ }$

Let the adjacent angles be $x$ and $x$

$\therefore x+x=180$

$⟹2x=180$

$⟹x=90$

$\therefore$ measure of each of the adjacent angles is ${90}^{\circ }$