Question

question 1 - 12
angle a and angle b are supplementary angles. if the measure of angle a is 112°, what is the measure of angle b?
68°
78°
88°
92°

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Solve for angle \(B\)

Given \(A = 112^{\circ}\), substitute into the equation: \(B=180^{\circ}-A\). Then \(B = 180^{\circ}- 112^{\circ}\).
Calculate \(180 - 112=68\).

Answer:

\(68^{\circ}\) (corresponding to the first option)