Is there enough information to prove P is parallel to Q if so state the theorem or postulate?

yes there is. i do not know the theorem but I know it's rule. If 2 lines intersect the same line, and they have an equal angle in the same quadrant then they are parallel. This is because their all of their angles would be equal and they are basically the same line but shifted over

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lisboa lisboa · Answer 2 · 2021-10-19T12:04:32+02:00

Yes, there is enough information

By equality of corresponding angles, the line P is parallel to Q

converse of Parallel lines transversal theorem

Given :

A diagram of parallel lines and some angles.

To prove P is parallel to Q

We use parallel lines transversal theorem

From the given figure we can see that in the transversal line S , the corresponding angles are equal .

When the corresponding angles are equal in the transversal line then the lines are parallel to each other .

so, By equality of corresponding angles the line P is parallel to Q

converse of Parallel lines transversal theorem

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