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an angle measures 94° less than the measure of its supplementary angle.…

Question

an angle measures 94° 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 one angle measures \(94^{\circ}\) less than its supplementary angle, so \(x=(180 - x)-94\).

Step2: Solve the equation

$$ LATEXBLOCK0 $$

Step3: Find the supplementary angle

The supplementary angle is \(180 - x=180 - 43 = 137\)

Answer:

\(43\) and \(137\)