Question

in $\triangle ghi$, $overline{hi}congoverline{gh}$ and $mangle g = 13^{circ}$. find $mangle i$.

Explanation:

Step1: Identify the isosceles triangle

Since \(\overline{HI}\cong\overline{GH}\), \(\triangle GHI\) is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. So \(\angle I=\angle G\).

Step2: Find the measure of \(\angle I\)

Given \(m\angle G = 13^{\circ}\), and \(\angle I=\angle G\) (from Step 1), so \(m\angle I = 13^{\circ}\).

Answer:

\(13^{\circ}\)