Question

in the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). Angle \(6\) and angle \(7\) are adjacent angles on a straight line. So, \(\angle6+\angle7 = 180^{\circ}\).

Step2: Solve for \(\angle7\)

Given \(\angle6 = 98^{\circ}\), substitute into the equation \(\angle7=180^{\circ}-\angle6\). Then \(\angle7 = 180^{\circ}-98^{\circ}\).

Answer:

\(82\)