Question

angles a and b are supplementary. angle a has a measure of 80°. what is the measure of angle b? the measure of angle b is °.

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Solve for angle \(B\)

Given \(A = 80^{\circ}\), substitute into the equation: \(B=180^{\circ}-A\). Then \(B = 180^{\circ}-80^{\circ}\).

Answer:

\(100\)