Question

question
find m∠ghf.
answer attempt 1 out of 2
m∠ghf = °

Explanation:

Step1: Identify triangle type

The triangle has two equal - side markings, so it is isosceles. In an isosceles triangle, the base - angles are equal. Let $\angle GFH=\angle GHF$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle G = 64^{\circ}$, and $\angle GFH=\angle GHF = x$. Then $64^{\circ}+x + x=180^{\circ}$.

Step3: Solve the equation

Combining like terms, we get $64^{\circ}+2x = 180^{\circ}$. Subtract $64^{\circ}$ from both sides: $2x=180^{\circ}-64^{\circ}=116^{\circ}$. Divide both sides by 2: $x = 58^{\circ}$.

Answer:

$58$