Question

What is the difference between vertical and supplementary angles? I'm confused because I don't know if a supplementary angle can have 4 lines coming from the place where they intersect. I'm also not sure if they can be supplementary and vertical.

Answer 1

See below.

Explanation:

I'm a little unsure what you are asking here.

From the diagram figure A.

These are vertically opposite angles `a=b`. They are not supplementary unless they add up to `180^@` and this will only happen if the two lines a perpendicular. In figure B `bbc` and `bbd` are supplementary. Supplementary angles add up to `180^@` as you can see in this case they are angles on a straight line.

To answer the question, can they have four lines coming from the intersection, the answer is yes in some cases, like in figure B.