Question

what is the value of a?
g
f
98°
e
a =
°

Explanation:

Step1: Identify triangle type

The triangle \( \triangle GFE \) has two equal sides (marked with ticks), so it's isosceles. Thus, \( \angle G = \angle E = a \).

Step2: Use triangle angle sum

The sum of angles in a triangle is \( 180^\circ \). So, \( a + a + 98^\circ = 180^\circ \).

Step3: Solve for \( a \)

Simplify: \( 2a = 180^\circ - 98^\circ = 82^\circ \). Then \( a = \frac{82^\circ}{2} = 41^\circ \).

Answer:

\( 41 \)