Angles (7x+17)° and (5x-5)° are consecutive interior angles, that means they add up to 180°.
So we can make an equation to solve for x, which eventually will help us solve for y.
180 = (7x+17) + (5x -5)
re arrange that:
180 = 7x + 5x + 17 - 5
180 = 12x + 12
- 12 -12
168 = 12 x
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°.
180 = (23y) + (5(14) - 5)
180 = (23y) + (70 - 5)
180 = 23y + 65
- 65 - 65
115 = 23y
23 23
___ = y
Good luck!
