Question

problem 22: (first taught in lesson 16) 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 they are supplementary, $x + y=180$. Also, $2x−9 = y$.

Step2: Substitute $y$ in first - equation

Substitute $y = 2x−9$ into $x + y=180$. We get $x+(2x - 9)=180$.

Step3: Simplify the equation

Combine like - terms: $3x-9 = 180$. Add 9 to both sides: $3x=189$.

Step4: Solve for $x$

Divide both sides by 3: $x = 63$.

Step5: Solve for $y$

Substitute $x = 63$ into $y = 2x−9$. Then $y=2\times63 - 9=126 - 9 = 117$.

Answer:

63, 117