Question

triangle basics

1. find m ∠ g

Explanation:

Step1: Identify triangle type

The marks on the sides show $\triangle FGH$ is isosceles with $FG = FH$. So $\angle G=\angle H$.

Step2: Use angle - sum property of triangle

The sum of interior angles of a triangle is $180^{\circ}$. Let $\angle G = \angle H=x$. Then $48^{\circ}+x + x=180^{\circ}$, or $48^{\circ}+2x = 180^{\circ}$.

Step3: Solve for $x$ (which is $\angle G$)

First, subtract $48^{\circ}$ from both sides: $2x=180^{\circ}- 48^{\circ}=132^{\circ}$. Then divide both sides by 2: $x=\frac{132^{\circ}}{2}=66^{\circ}$.

Answer:

$66^{\circ}$