Question

an angle measures 16° less than the measure of its supplementary angle. what is the measure of each angle?

Explanation:

Step1: Define the relationship

Let the angle be $x$ degrees and its supplementary angle be $y$ degrees. We know that $x + y=180$ and $x=y - 16$.

Step2: Substitute the first - equation into the second

Substitute $x=y - 16$ into $x + y=180$, we get $(y - 16)+y=180$.

Step3: Simplify the equation

Combine like - terms: $2y-16 = 180$. Then add 16 to both sides: $2y=180 + 16=196$.

Step4: Solve for $y$

Divide both sides of $2y = 196$ by 2, so $y=\frac{196}{2}=98$.

Step5: Solve for $x$

Since $x=y - 16$, then $x=98 - 16 = 82$.

Answer:

82, 98