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3 years ago

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

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

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 °.

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