Question

problem 21: find x and y. after you enter your answer press go. x = 134 y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $x=(x - 67)+67$, and also $x$ and $(x - 67)$ are related to the angle relationships. Since vertical angles are equal, we have $x=(x - 67)+67$. Also, $x$ and the angle $(5y + 7)$ are vertical angles, so $x=5y + 7$. Given $x = 134$.

Step2: Solve for $y$

Substitute $x = 134$ into the equation $x=5y + 7$. We get $134=5y + 7$. First, subtract 7 from both sides: $134−7 = 5y$, so $127 = 5y$. Then divide both sides by 5: $y=\frac{127}{5}=12.6$.

Answer:

$x = 134$, $y = 12.6$