Question

for her math class, lisa has drawn a diagram that shows two supplementary angles. the measure of the first angle is 98°. let s represent the measure of the second angle. which equation models the problem? s - 98 = 180 98 + s = 180 solve this equation to find the measure of the second angle.

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\). If one angle is \(98^{\circ}\) and the other is \(s\), then the equation is \(98 + s=180\).

Step2: Solve the equation for \(s\)

Subtract \(98\) from both sides of the equation \(98 + s=180\).

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Answer:

The equation that models the problem is \(98 + s = 180\), and the measure of the second angle \(s = 82^{\circ}\)