Question

in the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. what is the measure of angle 7? 56° 84°

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(\angle8+\angle7 = 180^{\circ}\)

Step2: Solve for \(\angle7\)

Given \(\angle8 = 124^{\circ}\), then \(\angle7=180^{\circ}-\angle8\)
\(\angle7 = 180^{\circ}- 124^{\circ}\)
\(\angle7=56^{\circ}\)

Answer:

\(56^{\circ}\)