Question

Geometry. I'm really struggling with this.

Answer 1

The measure of Angle G is 62.5°.

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

`55 + x +x =180\\\\2x=180-55\\\\2x=125\\\\\therefore x=(125)/(2) =62.5\°\\\\\therefore x=62.5\°`

The measure of Angle G is 62.5°.