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 angles supplement.
the measure of the angle is fifty - nine times greater than its supplement
what is the measure of the supplement?

Explanation:

Step1: Define variables

Let $x$ = supplement measure, angle = $59x$

Step2: Set up supplement equation

Supplementary angles sum to $180^\circ$:
$$x + 59x = 180$$

Step3: Simplify and solve for $x$

Combine like terms:
$$60x = 180$$
Solve for $x$:
$$x = \frac{180}{60} = 3$$

Answer:

$3^\circ$