Question

Earl and Sean provide the following proofs for vertical angles to be equal.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0908_10/image0044e733e61.jpg

Answer 1

Earl’s proof: angle 1 + angle 2 = 180° (PQ is a straight line)
angle 3 + angle 4 = 180°(PQ is a straight line)
Therefore, angle 1 + angle 2 = angle 3 + angle 4
Hence, vertical angles are equal.

Sean’s proof: angle 1 + angle 4 = 180° (transversal t is a straight line)
angle 2 + angle 3 = 180°(transversal t is a straight line)
Therefore, angle 1 + angle 4 = angle 2 + angle 3
Hence, vertical angles are equal.

Answer 2

Which statement is correct?
Answer

Only Earl’s proof is correct.

Only Sean’s proof is correct.

Both Earl’s and Sean’s proofs are correct.

Both Earl’s and Sean’s proofs are incorrect.

Answer 3

i think either just earl is correct or both but im not sure help please?

Answer 4

both are doing the same thing ... taking different angles!!

Answer 5

ok so both are correct then?

Answer 6

both are incorrect

Answer 7

oooh... why is that?

Answer 8

because both are doing same ...
both proved that sum of two adjacent angles of vertically opposite angles are equal!!

Answer 9

i got why there both wrong i just wasn't seeing what they did wrong but i got it. thank-you

Answer 10

it should have been
1 = 3
not 1+2 = 3 + 4