Question

problem 22: two angles are supplementary. twice the measure of the first angle minus 9 is equal to the measure of the second angle. find the measures of both angles. after you enter your answer press go.

Explanation:

Step1: Set up equations

Let the first - angle be $x$ and the second - angle be $y$. Since the two angles are supplementary, $x + y=180$, so $y = 180 - x$. Also, given that $2x-9=y$.

Step2: Substitute $y$

Substitute $y = 180 - x$ into $2x - 9=y$. We get $2x-9=180 - x$.

Step3: Solve for $x$

Add $x$ to both sides: $2x+x-9=180 - x+x$, which simplifies to $3x-9 = 180$. Then add 9 to both sides: $3x-9 + 9=180 + 9$, so $3x=189$. Divide both sides by 3: $x=\frac{189}{3}=63$.

Step4: Solve for $y$

Substitute $x = 63$ into $y = 180 - x$. Then $y=180 - 63=117$.

Answer:

63, 117