# In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle?

Jan 29, 2016

The vertex angle would be ${32}^{o}$

#### Explanation:

In an isosceles triangle the base angles would be congruent and therefore both have measures of ${74}^{o}$

The three angles of any triangle must add up to ${180}^{o}$

Therefore

${74}^{o} + {74}^{o} + v = {180}^{o}$
${148}^{o} + v = {180}^{o}$
$v = {32}^{o}$