Question

HELPPPP MEEEJHEUGUFKKUW SKSKKSKSKSK Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠3?

Answer 1

Angle-6 is congruent to Angle-3.

They are "alternate interior angles" formed by a transversal cutting across parallel lines. These are always congruent, according to a widely studied theorem of 9th grade plane geometry.

Angle-2 is also congruent to Angle-3, because they are a pair of "vertical angles".

And, since Angle-6 is congruent to Angle-3, Angle-7 is too, because it forms a pair of vertical angles with Angle-6.

These don't depend on parallel lines, only on 'vertical angles'.

Answer 2

I gotchu vsco girl, if you're doing it on USA Test Prep then the answer is "C"

∠6

Step-by-step explanation:

∠1 is not congruent to ∠6

∠1 ≅ ∠4 -- vertical angles, ∠1 ≅ ∠5 -- corresponding angles, and ∠1 ≅ ∠8 -- alternate exterior angles