Question

An isosceles triangle is shown what is the measure of

Answer 1

Since we have an isosceles triangle, the sides GF and EF are congruent. Therefore, the opposite angles to those sides are congruent too, that is,
`m\measuredangle G+m\measuredangle E+m\measuredangle F=180\Rightarrow m\measuredangle F=180-(58+58)\Rightarrow m\measuredangle F=64`Therefore, the measure of angle F is 64 (option C).