Question

find m∠mnl. answer attempt 2 out of 2 m∠mnl = ° submit answer

Explanation:

Step1: Recall the property of isosceles triangle

In \(\triangle MNL\), \(ML = MN\) (marked with equal - side symbols), so \(\triangle MNL\) is an isosceles triangle. The sum of interior angles in a triangle is \(180^{\circ}\). Let \(\angle MNL=\angle MLN = x\).

Step2: Set up the equation

We know that \(\angle M + \angle MNL+\angle MLN=180^{\circ}\). Given \(\angle M = 128^{\circ}\), then \(128^{\circ}+x + x=180^{\circ}\).
Simplify the equation: \(128^{\circ}+2x=180^{\circ}\).
Subtract \(128^{\circ}\) from both sides: \(2x=180^{\circ}- 128^{\circ}=52^{\circ}\).
Divide both sides by 2: \(x=\frac{52^{\circ}}{2}=26^{\circ}\).

Answer:

\(26\)