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How do I find the alternative, corresponding and vertically opposite for angle a?

How do I find the alternative, corresponding and vertically opposite for angle a?-example-1

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Let's represent the Alternate angles first:

As we can see angles u,w and y are all Alternate angles of angle "a", They represents the opposite angles.

Now let's represent de corresponding angles:

As we can see above, angles q and s are corresponding angles of angle "a".

Finally let's represent the vertically opposite angle:

As we can see, v,b,x,p,z and r are vertically opposite angles of angle "a".

How do I find the alternative, corresponding and vertically opposite for angle a?-example-1
How do I find the alternative, corresponding and vertically opposite for angle a?-example-2
How do I find the alternative, corresponding and vertically opposite for angle a?-example-3
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