Question

angle a and angle b are supplementary. the measure of angle b is 82.5. what is the measure of angle a, in degrees? enter your answer as a decimal, if necessary, like this: 42.5

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Solve for angle \(A\)

Given \(B = 82.5^{\circ}\), substitute into the equation: \(A=180 - B\). Then \(A = 180-82.5\).

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Answer:

\(97.5\)