Answer:
m<GED = 126°
Step-by-step explanation:
The base angles of an isosceles are equal.
This implies that:
m<FEG = m<F
Thus:
m<F = ½(180° - 72°)
m<F = ½(108°)
m<F = 54°
Based on the exterior angle theorem, we have the following equation:
m<F + m<FGE = m<GED
Substitute
54° + 72° = m<GED
126° = m<GED
m<GED = 126°
