Answer:
1. 95=8x+55 8x=40 x=5 Reason: Since m and n are parallel, and a line traverse through it, they are corresponding angles, meaning that their angle is the same.
2. 200-2x=130 200-130=2x 2x=70 x=35 Reason: The two angles are the same because the "130-degree" angle's corresponding angle is the vertical angle of the "200-2x" angle.
3. Yes, we can use the corresponding angle theorem to prove that m and n are parallel.
4. No, there's not enough information to determine because both given angles are on line m, we need an angle on line n as well.
5. No, the same explanation as 4^^^ Vertical angles do not necessarily prove that two lines are parallel.
6. Yes, we can use the corresponding angles theorem, and then use the vertical angles theorem.
Good luck, and comment on anything you don't understand. I suggest you watch some help videos.