Question

2.3 assignment
lines m and n are cut by a transversal so that ∠a and ∠b are consecutive interior angles. if m∠a = 84°, what is m∠b that makes lines m and n parallel?
6°
84°
96°
276°

Explanation:

Step1: Recall angle - property

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, \(m\angle A+m\angle B = 180^{\circ}\).

Step2: Solve for \(m\angle B\)

Given \(m\angle A = 84^{\circ}\), we substitute into the formula: \(m\angle B=180^{\circ}-m\angle A\). So \(m\angle B = 180 - 84=96^{\circ}\).

Answer:

C. 96°