Question

triangle efg is an isosceles triangle.
the figure is not drawn to scale.
what is the measure, in degrees, of ∠g ?
respond in the space provided.

Explanation:

Step1: Identify equal sides/angles

In isosceles $\triangle EFG$, $\overline{EF} = \overline{EG}$, so $\angle F = \angle G$.

Step2: Sum of triangle angles

The sum of angles in a triangle is $180^\circ$. Let $\angle G = x$, so $\angle F = x$.
Expression: $55^\circ + x + x = 180^\circ$

Step3: Solve for x

Simplify and isolate $x$:
$2x = 180^\circ - 55^\circ$
$2x = 125^\circ$
$x = \frac{125^\circ}{2}$

Answer:

$62.5^\circ$