Answer:
The measure of Angle G is 62.5°.
Step-by-step explanation:
Given:
Δ EFG is an Isosceles Triangle.
EG = EF
m∠ E = 55°
To Find:
m∠ G = ?
Solution:
Δ EFG is an Isosceles Triangle. ........Given
EG = EF ..............Given
∠ G = ∠ F = x (say) ..................Isosceles triangle property
Now in Δ EFG we have
∠ E + ∠ G + ∠ F = 180° .......... Angle sum property of triangle
On substituting the values we get
[tex]55 + x +x =180\\\\2x=180-55\\\\2x=125\\\\\therefore x=\frac{125}{2} =62.5\°\\\\\therefore x=62.5\°[/tex]
The measure of Angle G is 62.5°.
