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 the equation

Let the measure of the supplementary angle be \(x\). Then the measure of the other angle is \(x + 128\). Since supplementary angles sum to \(180^{\circ}\), we have \(x+(x + 128)=180\).

Step2: Simplify the equation

Combine like terms: \(2x+128 = 180\).
Subtract \(128\) from both sides: \(2x=180 - 128\), so \(2x = 52\).

Step3: Solve for \(x\)

Divide both sides by \(2\): \(x=\frac{52}{2}=26\).

Step4: Find the other angle

The other angle is \(x + 128=26+128 = 154\).

Answer:

\(26\) and \(154\)