Question

the measure of an angle is forty - four times the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Let the measure of the supplementary angle

Let the measure of the supplementary angle be \(x\) degrees. Then the measure of the other angle is \(44x\) degrees.

Step2: Use the property of supplementary angles

Since the two angles are supplementary, \(x + 44x=180\).
Simplify the left - hand side: \(45x = 180\).
Solve for \(x\): \(x=\frac{180}{45}=4\).

Step3: Find the measure of the other angle

The other angle is \(44x\), substitute \(x = 4\) into it, \(44\times4 = 176\).

Answer:

\(4\) and \(176\)