Question

In this figure, AB || CD and m/2= 60°.
What is mZ6?

Answer 1

The measure of
`\angle 6\ is\ 60\°`.

Explanation:

Given,

AB║CD and

m∠2 = 60°

Solution,

Since, in the figure given in attachment line segment AB is parallel to line segment CD. And t is the transversal line.

The theorem of parallel lines states that,

"If two lines are parallel and cut by a transversal line then the pair of corresponding angles are congruent."

So according to the theorem of parallel lines,∠2 and ∠6 makes a pair of corresponding angle.

And the measure of corresponding angle is equal.

So, m∠2 = m∠6

`\therefore m\angle 2 = m\angle 6 = 60\°`

Thus the measure of
`\angle 6\ is\ 60\°`.