Question

an angle measures 78° 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 one angle be \(x\). Then the measure of its supplementary angle is \(180 - x\). Given that one angle measures \(78^{\circ}\) more than its supplementary angle, so \(x=(180 - x)+78\).

Step2: Solve the equation

$$
LATEXBLOCK0
$$

Step3: Find the measure of the supplementary angle

The supplementary angle is \(180 - x\). Substitute \(x = 129\) into it, \(180-129 = 51\)

Answer:

\(129^{\circ}\) and \(51^{\circ}\)