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find ( mangle igh ). answer attempt 1 out of 2 ( mangle igh=) 。 submit …

Question

find ( mangle igh ).
answer attempt 1 out of 2
( mangle igh=) 。 submit answer

Explanation:

Step1: Determine the type of triangle

Since two sides of the triangle \( \triangle HGI\) are marked as equal, it is an isosceles triangle. In an isosceles triangle, the base - angles are equal.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle IGH = m\angle GIH\) (base - angles of isosceles triangle). Given \(m\angle GIH=51^{\circ}\), then \(m\angle IGH = 51^{\circ}\)

Answer:

\(51\)