Question

Three angles of a quadrilateral are equal. The fourth angle is of measure ${150}^{\circ }$. What is the measure of equal angles.

Answer 1

Let $x$ be the measure of the equal angles of the quadrilateral.

Since, the sum of all the angles of a quadrilateral is ${360}^{\circ }$, we have:

$x^{\circ }+x^{\circ }+x^{\circ }+150°={360}^{\circ }$

$\Rightarrow 3x^{\circ }={360}^{\circ }-{150}^{\circ }$

$\Rightarrow x^{\circ }=(\frac{210}{3}{)}^{\circ }={70}^{\circ }$

∴ The measure of each angle is ${70}^{\circ }.$