Question

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



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

Answer 1

Only Adam’s proof is correct.
Only Darius’ proof is correct.
Both Adam’s and Darius’ proofs are correct.
Both Adam’s and Darius’ proofs are incorrect.

Answer 2

Adam's conclusion that angle 2 plus angle 3 is 180 is true, but unsupported. Further, the final conclusion is unsupported. Darius' proof is correct.

Answer 3

so only darius?

Answer 4

Yup.

Answer 5

thank you : )

Answer 6

No sweat.