Question

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

Answer 1

This is an isosceles triangle, so two sides are congruent

Answer 2

and the base angles (opposite the congruent sides) are also congruent

Answer 3

so the base angles are both 74 degrees

the vertex angle is unknown for now (call it x)