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