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 \\(\square\\)°.

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \(180^\circ\), so \(m\angle A + m\angle B = 180^\circ\).

Step2: Substitute \(m\angle A = 80^\circ\)

\(80^\circ + m\angle B = 180^\circ\).

Step3: Solve for \(m\angle B\)

\(m\angle B = 180^\circ - 80^\circ = 100^\circ\).

Answer:

\(100\)