Question

∠ and ∠b are supplementary angles. if ∠b = 61°, find the measure of ∠a.

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Solve for \(\angle A\)

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

Answer:

\(119^{\circ}\)