Angles (7x+17)° and (5x-5)° are consecutive interior angles, that means they add up to 180<span>°. So we can make an equation to solve for x, which eventually will help us solve for y. 180</span> = (7x+17) + (5x -5)
re arrange that: 180 = 7x + 5x + 17 - 5
180 = 12x + 12 - 12 -12
168 = <span>12 x </span> 12 12
14 = x
Now we will plug it into (5x - 5) to help us solve for y, Angle (5x - 5) and (23y) are supplementary angles, meaning they equal to 180°. <span> 180 = (23y) + (5(14) - 5)