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question find ( mangle ijh ).

Question

question
find ( mangle ijh ).

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides are equal). In an isosceles triangle, the base - angles are equal. Let \(m\angle IJH = m\angle IHJ=x\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + x+64^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 64^{\circ}\).

Step3: Solve for \(x\)

\(2x = 116^{\circ}\), then \(x=\frac{116^{\circ}}{2}=58^{\circ}\)

Answer:

\(58^{\circ}\)