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

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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

Geometry
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i guess both Adam's and Darius's proofs are correct.
can you explain why? @insa

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well, all of them are facts
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
Thank you so much.
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.
NP

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