Question

an angle measures 128° more than the measure of its supplementary angle. what is the measure of each angle?
° and °

Explanation:

Step1: Set up equations

Let the measure of one angle be \(x\) degrees. Then the measure of its supplementary angle is \((180 - x)\) degrees. Given that one angle measures \(128^{\circ}\) more than its supplementary angle, so \(x=(180 - x)+ 128\).

Step2: Solve the equation

$$
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$$

Step3: Find the supplementary angle

If \(x = 154\), then the supplementary angle is \(180-154 = 26\)

Answer:

\(154\) and \(26\)