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# Triangle XYZ is and isosceles triangle with a base /_X=40 degrees. Find the measures of the other base angle and the vertex angle. Please solve? Thanks!

Mar 8, 2018

${40}^{\circ} \text{ and } {100}^{\circ}$

#### Explanation:

$\text{the 2 base angles in an isosceles triangle are equal}$

$\text{if "angleY" is the other base angle then}$

$\angle Y = \angle X = {40}^{\circ}$

$\text{vertex angle } \angle Z = {180}^{\circ} - {\left(40 + 40\right)}^{\circ} = {100}^{\circ}$