Question

use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angle’s supplement.
the measure of the angle is fifty - nine times greater than its supplement.
3.
what is the measure of the supplement?
what is the measure of the other angle?

Explanation:

Step1: Define variables and equation

Let $x$ = supplement measure. The angle is $59x$. Supplementary angles sum to $180^\circ$, so:
$$x + 59x = 180$$

Step2: Combine like terms

Simplify the left side:
$$60x = 180$$

Step3: Solve for $x$

Divide both sides by 60:
$$x = \frac{180}{60} = 3$$

Step4: Find the other angle

Calculate the angle measure:
$$59x = 59 \times 3 = 177$$

Answer:

The measure of the supplement is $3^\circ$, the measure of the other angle is $177^\circ$.