Question

Please check my answer.
I think it's statement 3, it would mean they're congruent not suppl.
@jim_thompson5910

Answer 1

why are angles 1 and 2 congruent?

Answer 2

Oh crap, I think I was looking at the wrong thing!

Answer 3

what do you mean?

Answer 4

Angle 1 + angle 3= 180
and ang. 2+ 3 = 180
so angle 1 & angle 2 are congruent.
Am I mistaken?

Answer 5

So how you can state that in 2 or 3 words? There's a special theorem (and you provided a proof for that theorem).

Answer 6

Honestly, I don't remember.

Answer 7

I think it has the word congruence in it?

Answer 8

not really

Answer 9

look at how angle 1 and angle 2 are related (ignore the other stuff of the drawing)

Answer 10

Okay

Answer 11

@jim_thompson5910 Statement 3 is incorrect because they are
vertically opposite from one another, they are not suppl.

Answer 12

yes

Answer 13

Statement 3 *should* be this:


For triangles AOB and DOC, angle 1 is equal to angle 2 as they are VERTICAL angles.

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You provided a proof for the vertical angle theorem (which states that any two vertical angles are congruent).