Question

Find X Find Y PLEASE HELP ME

Answer 1

Answer is x= 8 and y= 21

Step by step

Let’s break this down

We know straight angle AB = 180 degrees so the sum of all angles will = 180

We know there is a right angle EOG = 90
Let’s solve the two angles inside this right angle. The sum of EOF = 27 and FOG = 3y will = 90 degrees (right angle)

Our equation is 27 + 3y = 90

Subtract 27 from both sides to isolate y

27 -27 +3y = 90 - 27
Combine

3y = 63

Divide both sides by 3 to solve y

3/3 y = 63/3

y = 21

So now let’s solve for x

Since we know EOG is 90 degrees, we know the other two unknown angles AOE = x and BOG = 8x + 18 sum will equal 90 degrees, because all straight angles sum = 180

So our equation is
x + 8x + 18 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from both sides to isolate x

9x +18 -18 = 90 -18

Combine

9x = 72

Divide both sides by 9 to solve

9/9 x = 72/9

x = 8

Check your work

x + 27 + 3y + 8x + 18 = 180

(8) + 27 + (3)(21) + (8)(8) + 18 = 180

8 + 27 + 63 + 64 + 18 = 180

180 = 180

Problem solved!