Question

an angle measures 144° less than the measure of its supplementary angle. what is the measure of each angle?

Explanation:

Step1: Define supplementary angles

Let the angle be $x$. Its supplementary angle is $180 - x$.

Step2: Set up the equation

Given that $x=(180 - x)-144$.

Step3: Solve the equation

Expand the right - hand side: $x = 180 - x-144$.
Combine like terms: $x+x=180 - 144$.
$2x = 36$.
Divide both sides by 2: $x=\frac{36}{2}=18$.
The supplementary angle is $180 - 18=162$.

Answer:

18, 162