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Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below. He makes the following table to prove that the alternate interior angles are equal.

Mathematics
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Statement Justification angle 2 = angle 6 Corresponding angles of parallel lines are congruent. angle 2 = angle 4 ? angle 4 = angle 6 transitive property of equality, angle 2 = angle 6, angle 2 = angle 4, therefore angle 4 = angle 6

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Other answers:

Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.
Angle 2 = Angle 4 as they are vertically opposite angles.... (sometimes called vertical angles) opposite sides of the vertex are congruent. Angle 4 = Angle 6 interior alternate angles in parallel lines are congruent. thats about the all there is...
So the answer is? Don't mean to be hard but you kinda confused me.
well you have proven Angle 2 = angle 4 and angle 4 = angle 6 therefore angle 2 has to equal angle 6.
Oh okay...but that's not a choice.
2=4, 6=8,1=3,5=7 are all Opp. angle which are congruent also 4 = 6 BECAUSE of two parallel lines and a kind a Z formation hint look for z formations always in a transveral, it will give you lots of information
Sorry but I'm still confused. I'm really sorry.
kindly justify?
I don't understand how to get the right answer.
Or what to do.
do you agree 2=4 and 4=6?
Yes
so can we say 2=6?
Right
and what kind of angles are 2 and 6 ?
Congruent?
exactly
we proved that they are congruent now take a careful look start from left i.e. from point A, come down and move toward ray D , does that look like a Z
your answers are almost with you
Yes
does that help?
To be honest it lost me.
Wait is it the second choice?
read the reasoning above , and you have the basic information to solve the question,
Wait is it the second choice?
1 and 3, there for 2 and 4, is the closest match, 1 and 3 form a vertically oppo angle pair
Thanks I would give you a medal but IDK how, I new.
Do you have time to help me with another one?
sure
Okay
@BIGDOG96 so what was the answer.........
Was it Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4?

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