The figure below shows a transversal t which intersects the parallel lines PQ and RS.

A segment AB is intersected by a transversal labeled t. Angles 1 and 3 and 2 and 4 are vertically opposite angles formed by the transversal on the segment.

Prove that the measure of angle 4 is equal to the measure of angle 8.

Question

The figure below shows a transversal t which intersects the parallel lines PQ and RS.

A segment AB is intersected by a transversal labeled t. Angles 1 and 3 and 2 and 4 are vertically opposite angles formed by the transversal on the segment.

Prove that the measure of angle 4 is equal to the measure of angle 8.

anonymous · Answer

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anonymous · Answer

do you know corresponding angles?

anonymous · Answer

Yes, (1,5) (4,8) and the rest, right?

anonymous · Answer

4and 8 are corresponding angles so they are equal

anonymous · Answer

I know, but this is part of my Proof homework and i have to make a paragraph out of that, but im not sure how.

anonymous · Answer

I'm a little stuck on how to make this into a paragraph proof too :/

anonymous · Answer

This is what I'm submitting for mine...: "It is given that line PQ is parallel to line RS. Angle 4 and angle 8 are corresponding angles. Corresponding angles are congruent. Therefor, angles 4 and 8 are congruent or equal." ..thats mine so if you're gonna use it, it should reword it ;D lol