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question find ( mangle mnl ). answer attempt 2 out of 2 ( mangle mnl=) …

Question

question
find ( mangle mnl ).
answer
attempt 2 out of 2
( mangle mnl=) submit answer

Explanation:

Step1: Identify the triangle type

Since \(ML = MN\), \(\triangle MLN\) is an isosceles triangle. In an isosceles triangle, the base - angles are equal. Let \(\angle MLN=\angle MNL = 32^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(\angle NML=x\). Then \(x + 32^{\circ}+32^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(32^{\circ} + 32^{\circ})=116^{\circ}$$

Answer:

\(116\)