Question

problem 18: find x and y. after you enter your answer press go. x = y =

Explanation:

Step1: Set up equation for x

Since vertical - angles are equal, we have $x=x - 28+90$.
Simplifying gives $x-(x - 28)=90$, which is always true. Also, we know that $x+(x - 28)=90$ (because the two non - right angles adjacent to the right angle are complementary).
Combining like terms: $2x-28 = 90$.
Adding 28 to both sides: $2x=90 + 28=118$.
Dividing both sides by 2: $x=\frac{118}{2}=54$.

Step2: Find y

Since $x + y=90$ (complementary angles), substituting $x = 54$ into the equation, we get $y=90 - x$.
So $y=90 - 54=36$.

Answer:

$x = 54$, $y = 36$