Question

problem 17: find x and y. after you enter your answer press go. x = y =

Explanation:

Step1: Set up equation for y

Since $3y$ and $4y - 40$ are vertical - angles, they are equal. So $3y=4y - 40$.

Step2: Solve for y

Subtract $3y$ from both sides: $0=y - 40$. Then add 40 to both sides to get $y = 40$.

Step3: Set up equation for x

Since $(x + 15)$ and $3y$ are supplementary (linear - pair of angles), $(x + 15)+3y=180$.

Step4: Substitute y into the equation for x

Substitute $y = 40$ into the equation: $(x + 15)+3\times40=180$.

Step5: Simplify the equation for x

$(x + 15)+120=180$, then $x+135 = 180$.

Step6: Solve for x

Subtract 135 from both sides: $x=180 - 135=125$.

Answer:

$x = 125$, $y = 40$