Two parallel lines are crossed by a transversal.

Parallel lines c and b are cut by transversal a. On line c where it intersects with line a, the uppercase left angle is 80 degrees. On line b where it intersects with line a, the bottom right angle is y degrees.
What is the value of y?

y = 40
y = 80
y = 100
y = 120

If the line is a straight line through two parallel lines then the angles of the two intersections should be the same. Basically because they are both on the bottom right they will be the same.

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barackodam barackodam · Answer 2 · 2022-07-05T13:25:08+02:00

The value of 'y' is 80 degrees. option B

How to determine the value of y

Note that alternate angles are equal

The intersections of a transversal with two parallel lines forms various types of pairs of angles such as

consecutive interior angles
consecutive exterior angles,
corresponding angles
alternate angles

In this case, the transverse line forms alternate angles of line c and b

Angle at line c = 80 degrees

Angle at line b = y

Since they are alternate angles, y = 80 degrees

Therefore, the value of 'y' is 80 degrees. option B

Learn more about transverse lines here:

https://brainly.com/question/24607467

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