Question

an angle measures 152.6° less than the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

Let the measure of one angle be \(x\). Then its supplementary angle is \(180 - x\). Given that \(x=(180 - x)-152.6\).

Step2: Solve the equation

$$
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$$

Step3: Find the supplementary angle

The supplementary angle is \(180 - 13.7=166.3\)

Answer:

\(13.7^{\circ}\) and \(166.3^{\circ}\)