# A triangle has angle measures of 82°, 34°, and x°. What is x?

Jan 29, 2016

${64}^{\circ}$

#### Explanation:

as we know,
the sum of the three angles of a triangle is ${180}^{\circ}$

so,

${82}^{\circ} + {34}^{\circ} + {x}^{\circ} = {180}^{\circ}$

$\mathmr{and} , {116}^{\circ} + {x}^{\circ} = {180}^{\circ}$

$\mathmr{and} , {x}^{\circ} = {180}^{\circ} - {116}^{\circ}$

$\mathmr{and} , {x}^{\circ} = {64}^{\circ}$