Question

The measure of two adjacent angles of a quadrilateral are ${110}^o$ and ${50}^o$ and the other two angles are equal. Find the measure of each angle.

Answer 1

Let $x$ be the other angle

Given: measure of two adjacent angles of a quadrilateral are ${110}^{\circ },{50}^{\circ }$.

We know that, Sum of angles of quadrilateral = ${360}^{\circ }$

$\therefore x+x+{110}^{\circ }+{50}^{\circ }={360}^{\circ }$

$\Rightarrow x={100}^{\circ }$