Question

determine the measure of the unknown angle in each triangle. a. m∠b =

Explanation:

Step1: Recall angle - sum property

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

Step2: Substitute known angles

We know that \(m\angle A = 78^{\circ}\) and \(m\angle C=37^{\circ}\). Substituting these values into the equation \(m\angle B=180^{\circ}-m\angle A - m\angle C\).

Step3: Calculate \(m\angle B\)

\(m\angle B=180^{\circ}-78^{\circ}-37^{\circ}=65^{\circ}\).

Answer:

65