Question

please show all of your work clearly for credits.
q1. ∠a and ∠b are supplementary angles. if ∠a = 61°, find the measure of ∠b

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Solve for \(\angle B\)

Given \(\angle A = 61^{\circ}\), substitute into the equation: \(\angle B=180^{\circ}-\angle A\).
\(\angle B = 180^{\circ}- 61^{\circ}\)
\(\angle B=119^{\circ}\)

Answer:

\(119^{\circ}\)