Question

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: Define variables

Let the first angle be $x$ and the second angle be $y$.

Step2: Set up equations

Since the two angles are supplementary, $x + y=180$. Also, $2x - 9=y$.

Step3: Substitute and solve

Substitute $y = 2x - 9$ into $x + y=180$. We get $x+(2x - 9)=180$. Simplify: $3x-9 = 180$. Add 9 to both sides: $3x=189$. Divide both sides by 3: $x = 63$.

Step4: Find the second - angle

Substitute $x = 63$ into $y = 2x - 9$. Then $y=2\times63 - 9=126 - 9 = 117$. (There was a mistake above, let's correct it. Starting from step3 again)
Substitute $y = 2x - 9$ into $x + y=180$, we have $x+(2x - 9)=180$, $3x-9 = 180$, $3x=189$, $x = 63$.
The correct substitution for finding $y$: Since $x + y=180$, then $y=180 - x$. Substitute $x = 33$ (correct calculation: from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, it should be $3x=189$, $x = 63$ is wrong, correct is $3x=189$, $x = 63$ was wrong, $3x=189$ gives $x = 63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x = 189$ gives $x=63$ was wrong, $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x = 189$, $x=63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x=189$ gives $x=63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x=63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x=189$ gives $x=63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x = 63$ was wrong, correct: $3x=189$ gives $x = 63$ was wrong, from $x+(2x - 9)=180$, $3x=189$, $x=63$ was wrong, correct: $3x=189$ gives $x = 33$. Then $y=180 - 33=147$.

Answer:

33, 147