Question

In this figure m<3=130
What is m<6 ?

Answer 1

The correct answer is m<6 = 50°

Explanation:

From the figure we can see that,

AB ║CD

To find the value of m<6

From figure we get, m<3 = 130°

m<6 = m<2 (corresponding angles)

m<3 + m<2 = 180° (Linear pair)

m<2 = 180 - 130 = 50°

m<6 = m<2 = 50°

Therefore the correct answer is m<6 = 50°

Answer 2

Answer:
`m\angle6=50\°`

Explanation:

You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.

The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).

Therefore, you know that:

`m\angle3+m\angle6=180\°`

So you can substitute m∠3=130° and solve for m∠6. Then you get:

`130\°+m\angle6=180\°\\m\angle6=180\°-130\°\\m\angle6=50\°`