Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

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

Step2: Substitute the known values

We know \(m\angle A = 70^{\circ}\) and \(m\angle C = 60^{\circ}\). Substituting into the formula: \(70^{\circ}+m\angle B + 60^{\circ}=180^{\circ}\).

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

Combine like - terms: \(m\angle B+130^{\circ}=180^{\circ}\). Then subtract \(130^{\circ}\) from both sides: \(m\angle B=180^{\circ}-130^{\circ}\).

Answer:

\(50\)