Question

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

Answer 1

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`