Question

Adam and Darius provide the following proofs for vertical angles to be equal.

Answer 1

Adam’s proof: angle 1 + angle 2 + angle 3 + angle 4 = 360°
Therefore, angle 2 + angle 3 = 180°
Hence, angle 1 = angle 3

Darius’ proof: angle 1 + angle 4 = 180° (transversal t is a straight line)
angle 1 + angle 2 = 180° (PQ is a straight line segment)
Therefore, angle 1 + angle 2 = angle 1 + angle 4
Hence, angle 2 = angle 4

Which statement is correct?

Answer 2

Which statement is correct?

Only Adam’s proof is correct.

Both Adam’s and Darius’ proofs are correct.

Both Adam’s and Darius’ proofs are incorrect.

Only Darius’ proof is correct.

Answer 3

I think only daruis's proof is right

Answer 4

yep

Answer 5

Thanks merts