Question

I will give medal!

Adam's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360°
Therefore, angle 2 + angle 3 = 180° (t is a straight line)
Hence, angle 1 = angle 3 (Transitive Property of Equality)

Darius' proof: angle 1 + angle 4 = 180° (t is a straight line)
angle 1 + angle 2 = 180° (PQ is a straight line)
Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality)
Hence, angle 2 = angle 4 (Subtraction Property of Equality)

Which statement is correct?
Only Adam's proof is correct.
Both Adam's and Darius' proofs are correct.
Both Adam's and Darius' proofs a

Answer 1

i guess both Adam's and Darius's proofs are correct.

Answer 2

can you explain why? @insa

Answer 3

well, all of them are facts

Answer 4

all angles when added up equals to 360, angle 2 + angle 3 = 180° as its on a straight line
and angle 1 = angle 3 according to the property hence adam's proofs appears to be correct

Answer 5

Thank you so much.

Answer 6

then angle 1 + angle 4 = 180 and angle 1 + angle 2 = 180 as they on a straight line (angles on a straight line are always 180). angle 1 + angle 2 = angle 1 + angle 4 as angle 1 and 2 are on a straight line and so are angle 1 and 4. and angle 2= angle 4 as alternative angles are equal.

Answer 7

NP