Question

what is the value of m?

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The sum of angles around a point is \(360^{\circ}\), and a straight line is \(180^{\circ}\). We can also use the fact that \(m + 27^{\circ}=77^{\circ}\) (because of the relationship of angles formed by intersecting lines).

Step2: Solve for \(m\)

Subtract \(27^{\circ}\) from both sides of the equation \(m + 27^{\circ}=77^{\circ}\). So \(m=77^{\circ}- 27^{\circ}\)

Answer:

\(50\)