Question

given \\( \delta abc \\), what is \\( m \angle c \\)?
\\( m \angle c = ? ^ { \circ } \\)

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(m\angle A + m\angle B + m\angle C=180^{\circ}\).

Step2: Substitute the known values

We know \(m\angle A = 65^{\circ}\) and \(m\angle B = 55^{\circ}\). Substituting these into the equation: \(65^{\circ}+55^{\circ}+m\angle C = 180^{\circ}\).

Step3: Solve for \(m\angle C\)

First, add \(65^{\circ}\) and \(55^{\circ}\): \(65 + 55=120\). Then, \(120^{\circ}+m\angle C=180^{\circ}\). Subtract \(120^{\circ}\) from both sides: \(m\angle C=180^{\circ}- 120^{\circ}\).

Answer:

\(60\)