Question

(c) problem 18: (first taught in lesson 24)
find x and y.
after you enter your answer press go.
x =
y =

Explanation:

Step1: Use vertical - angle property

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

Step2: Solve for $x$

Combining like terms in $x + 3x = 180$, we get $4x=180$. Then $x=\frac{180}{4}=45$.

Step3: Find $y$

Since $y$ and $x$ are supplementary (linear - pair of angles), and $x = 45$, then $y=180 - x$. Substituting $x = 45$ into the equation, we get $y = 180-45 = 135$.

Answer:

$x = 45$, $y = 135$