Question

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

Answer 1

Answer:

The measure of $\angle 6\ is\ 60\°$.

Step-by-step 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 $\angle 6\ is\ 60\°$.