Question

what is the value of m?

Explanation:

Step1: Recall angle - bisector property

If an angle is bisected, the two resulting angles are equal. Let the large angle be \(74^{\circ}\) and one of the sub - angles be \(28^{\circ}\) and the other be \(m\).

Step2: Set up the equation

We know that \(74^{\circ}=28^{\circ}+m\).

Step3: Solve for \(m\)

Subtract \(28^{\circ}\) from both sides of the equation: \(m = 74^{\circ}-28^{\circ}\).
\(m = 46^{\circ}\)

Answer:

\(46^{\circ}\)