Answer: x = 40, y = 50
Step-by-step explanation:
By the corresponding angles theorem,
- 3x - 15 = 105
- 3x = 120 [add 15 to both sides]
- x = 40 [divide both sides by 3]
Thus, because the (3x-15) and (y+25) angles are supplementary,
- 3x - 15 + y + 25 = 180
- 3(40) - 15 + y + 25 = 180 [substitute x = 40]
- 130 + y = 180 [combine like terms]
- y = 50 [subtract 130 from both sides]
