Question

(20pts) Is there enough information to prove that line p and q are parallel? If so, state the theorem you would use.

Answer 1

2. Parallel (Interior Alternate Angles)

3. Not enough information

Step-by-step explanation:

For the first question, combine 60+25 which equal to 85°

Since both are 85° for interior alternate angles, the theorem states that if both interior alternate angles have same value, both lines are parallel.

Hence, both lines are parallel.

For the second question, there's not enough information. Some people may think that, "Can't we use 82-x=120"? The answer is no. 82-x=120 only applies when both lines are parallel. When we have to prove parallel lines, we cannot assume that they are parallel.

So 82-x = 120 is not valid.

Any other theorems do not work because not enough information.

Therefore, there's no enough information.