Question

an angle measures 114.4° 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 the measure of its supplementary angle is \(180 - x\). Given that one angle measures \(114.4^{\circ}\) less than its supplementary angle, so \(x=(180 - x)-114.4\).

Step2: Solve the equation for \(x\)

$$
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$$

Step3: Find the measure of the supplementary angle

The supplementary angle is \(180 - x\). Substitute \(x = 32.8\) into it, \(180-32.8 = 147.2\)

Answer:

\(32.8^{\circ}\) and \(147.2^{\circ}\)