is this c right

Question

Which two statements contradict each other?

I. ∠1 and ∠2 are supplementary angles.

II. m∠1 = 110.

III. m∠1 + m∠2 + m∠3 = 180, and m∠3 ≠ 0.

A. I and II

B. II and III

C. I and III

D. None

Answer 1

The correct answer is C!

Angle 1 and Angle 2 have to add to be 180 degrees (supplementary). But if statement III were additionally true, that would mean Angle 3 has to be some angle that is not zero, which isn't possible because it would put us over the degree requirement (180).

If it were true, Angle 3 would have to be zero, but it tells us in Statement III that this isn't possible.