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Pepsi [2]
3 years ago
10

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

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

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\°.

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