# The measures of two angles of a triangle are 52 and 89. What is the measure of the third angle?

Dec 7, 2016

${39}^{\circ}$

#### Explanation:

The sum of all angles of a triangle is always ${180}^{\circ}$ regardless of its type.
Let the missing angle be $x$.
Then, ${52}^{\circ} + {89}^{\circ} + {x}^{\circ} = {180}^{\circ}$
Subtracting ${52}^{\circ}$ and ${89}^{\circ}$ from both sides,
$\implies {x}^{\circ} = {180}^{\circ} - {89}^{\circ} - {52}^{\circ} = {180}^{\circ} - {141}^{\circ} = {39}^{\circ}$
$\therefore$The missing angle is ${39}^{\circ}$.