Question

In this figure, AB⎯⎯⎯⎯⎯∥CD⎯⎯⎯⎯⎯⎯ and m∠3=120°.

Answer 1

We've been learning this in math as well.

Angle 3 and Angle 6 are congruent angles, meaning they have to add up too 180 degrees. We already know that angle 3=120 degrees, so to find 6 we subtract.

180-120=60

Angle 6=60 degrees.

Hope this helped!-Seth

Answer 2

Answer:

60°

Step-by-step explanation:

∠3 and ∠6 are called same-side interior angles.  This is because they are inside the parallel lines and on the same side of the transversal.  

Same-side interior angles are supplementary; this means their sum is 180°.  Since m∠3 = 120°, this means that m∠6 = 180-120 = 60°