Question

an angle measures 126° more than the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Let the angle be $x$.

Its supplementary angle is $180 - x$. Given that $x=(180 - x)+126$.

Step2: Solve the equation for $x$.

First, expand the right - hand side: $x = 180 - x+126$. Then, add $x$ to both sides: $x+x=180 + 126$. So, $2x=306$. Divide both sides by 2: $x = 153$.

Step3: Find the supplementary angle.

The supplementary angle is $180 - x=180 - 153 = 27$.

Answer:

$153$ and $27$