Question

Geometry help please!

Answer 1

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

Answer 2

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 are incorrect.
Only Darius' proof is correct.

Answer 3

@Straybullet

Answer 4

Only Adam's proof is correct.

Answer 5

@ganeshie8 @welshfella @Lollygirl217 @mathstudent55 @abb0t @uybuyvf @undeadknight26 @undeadknight26 @batman19991

Answer 6

What is the answer????? And why???

Answer 7

@campbell_st