# How do you find the angle measure of the missing angle for a quadrilateral with angle measures of 145 degrees, 85 degrees and 45 degrees?

Jan 23, 2017

The measure of missing angle is ${85}^{\circ}$.

#### Explanation:

Sum of the angles of a quadrilateral is always ${360}^{\circ}$. As the measures of three angles is ${145}^{\circ}$, ${85}^{\circ}$ and ${45}^{\circ}$,

the measure of missing angle is

${360}^{\circ} - {145}^{\circ} - {85}^{\circ} - {45}^{\circ}$

= ${360}^{\circ} - {275}^{\circ}$

= ${85}^{\circ}$