159k views
0 votes
Below are two parallel lines with a third line intersecting them

Below are two parallel lines with a third line intersecting them-example-1
User Zoccadoum
by
5.0k points

2 Answers

2 votes

Answer:

x = 122°

Explanation:

Two parallel lines with a third line intersecting them are called a transversal.

The two angles shown in the picture, x and 122° are alternate interior angles.

Alternate angles are a pair of angles that are on the inner side of each of the two lines but are on opposite sides of a transversal.

These are really similar to vertically opposite angles!

All alternate angles have the same value, thus x = 122°.

You can also see that alternate angles are like corresponding angles and vertically opposite angles combined!

Below are two parallel lines with a third line intersecting them-example-1
Below are two parallel lines with a third line intersecting them-example-2
Below are two parallel lines with a third line intersecting them-example-3
User Vfn
by
5.2k points
4 votes

Answer:

x = 122

Explanation:

x = 122 because of alternate interior angles

User Surender Kumar
by
4.9k points