We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180 We can simplify that into 18x + 54 = 180 Now we take away 54 from both sides to get 18x = 126 Now divide both sides by 18 and we get x = 7. Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.
Take away 14 from both sides; 11y = 110 Now divide both sides by 11 and we get y = 10
So x = 7 and y = 10 I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
