Question

In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°. What is m∠6?

Answer 1

Answer:

The  m∠6 is 60 °.

Step-by-step explanation:

As given in  the figure

AB∥CD and m∠3=120°.

As AB and CD are parallel lines and a transversal line passing through AB and CD .

∠ 3 and ∠6 are same side interior angles .

Now by using the property

When two lines are parallel and tansversal passing through  parallel lines than same sides interior angles are supplementary .

Thus

∠3 + ∠6 = 180 °

( m∠3=120° )

120 ° + ∠6 = 180 °

∠6 = 180 ° - 120 °

∠6 = 60 °

Therefore the  m∠6 is 60 °.