Question

in \\( \triangle g h i, overline{h i} cong overline{g h} \\) and \\( mathrm{m} angle g=65^{circ} \\). find \\( mathrm{m} angle i \\).

Explanation:

Step1: Identify the triangle type

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: Determine the measure of \(\angle I\)

Given \(m\angle G = 65^{\circ}\), and \(\angle I=\angle G\) (from Step 1).

Answer:

\(65^{\circ}\)