Question

1. if ∠b is a supplement of ∠a and m∠a = 65.2° then what is the m∠b? m∠b = □

Explanation:

Step1: Recall supplement - angle relationship

Supplementary angles add up to 180°. So \(m\angle A + m\angle B=180^{\circ}\).

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

We know \(m\angle A = 65.2^{\circ}\), then \(m\angle B=180^{\circ}-m\angle A\). Substitute \(m\angle A = 65.2^{\circ}\) into the formula: \(m\angle B = 180 - 65.2=114.8^{\circ}\).

Answer:

\(114.8^{\circ}\)