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an angle measures 20° less than the measure of its supplementary angle.…

Question

an angle measures 20° less than the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up variables

Let one angle be \(x\), then its supplementary angle is \(180 - x\).
Given \(x=(180 - x)-20\).

Step2: Solve the equation

$$ LATEXBLOCK0 $$

Step3: Find the supplementary angle

The supplementary angle is \(180 - 80=100\)

Answer:

\(80\) and \(100\)