Question

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

Explanation:

Step1: Use angle - sum property

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, assume the angles are in a simple geometric relationship (since no other information is given, and we often deal with supplementary or other basic relationships). If we assume the angles are part of a regular division of the circle of angles around a point, and since the angles seem to be in a ratio, we note that if we consider the fact that the non - $y$ angles are $x,2x,3x$ and assume a simple case where the angles are evenly spaced in a sense related to the variable $x$. We know that $x+3x + 2x=6x$ and $y = 2x$ (a reasonable assumption for a simple geometric problem of this type). Substituting $y = 2x$ into $6x + y=360$, we have $6x+2x=360$.

Step3: Solve for $x$

$8x = 360$, so $x=\frac{360}{8}=36$.

Step4: Solve for $y$

Since $y = 2x$, then $y = 2\times36 = 72$.

Answer:

$x = 36$, $y = 72$