Question

problem 17: find x and y. (first taught in lesson 18) after you enter your answer press go. x = y =

Explanation:

Step1: Sum of angles around a point

The sum of angles around a point is $360^{\circ}$. So $x + 3x+2x + y=360$.

Step2: Simplify the equation

Combining like - terms, we get $6x + y=360$. Also, note that the angles $2x$ and $y$ are vertical angles, so $y = 2x$.

Step3: Substitute $y = 2x$ into the equation

Substitute $y = 2x$ into $6x + y=360$, we have $6x+2x=360$, which simplifies to $8x = 360$.

Step4: Solve for $x$

Dividing both sides of $8x = 360$ by 8, we get $x=\frac{360}{8}=36$.

Step5: Solve for $y$

Since $y = 2x$, substituting $x = 36$ gives $y = 2\times36 = 72$.

Answer:

$x = 36$, $y = 72$