Question

find m∠feg. answer attempt 1 out of a m∠feg =

Explanation:

Step1: Identify isosceles triangle

Since two - sides of the triangle are equal (marked with the same tick marks), the triangle is isosceles. In an isosceles triangle, the base - angles are equal. Let the base - angles be $\angle E$ and $\angle G$. Given $\angle G = 44^{\circ}$, so $\angle E=44^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle FEG=x$. In $\triangle FEG$, we know that $\angle F + \angle E+\angle G=180^{\circ}$. Since $\angle F = 90^{\circ}$ (right - angled triangle) and $\angle G = 44^{\circ}$, and $\angle E=x$. Then $x+44^{\circ}+90^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(90^{\circ} + 44^{\circ})$.
$x = 46^{\circ}$.

Answer:

$46^{\circ}$