Question

Help?

Answer 1

yes?

Answer 2

opposite angles exterior

Answer 3

sorry opposite angles interior

Answer 4

yeah it is that

Answer 5

alternat interior angles is the answer

Answer 6

The angles are on different sides of the transversal, or alternate sides of the transversal, so they are "alternate" angles.

Also, they are "inside" the two lines, so they are "interior" angles.

Put both of those together and you get:

alternate interior angles

Answer 7

Great, Thanks! what about this one?

Answer 8

Look at the two lines and the transversal.
Corresponding angles have these two conditions:
1 They are both on the same side of the transversal, and
2. They are both above or both below the two lines.

Answer 9

So they are corresponding angles?

Answer 10

For example, let's figure out which angle is corresponding to angle 4.
Look at angle 4.
For an angle to be corresponding to angle 4, it must be on the same side of the transversal as angle 4.
That leaves only angles 2, 6, and 8.

Answer 11

so 8?

Answer 12

Now look at the position of angle 4 on the two lines.
Angle 4 is below the line, so its corresponding angle must also be below the line.
There is only one such angle, angle 8.
Angle 4 and 8 are corresponding angles.

Answer 13

Correct.

Answer 14

Angles 4 and 8 are corresponding, but that was just an example to explain corresponding angles.
Now look at each choice and pick the pair of corresponding angle you are asked to identify..

Answer 15

1 and 5?

Answer 16

Every choice starts with angle 1.
Which angle is angle 1 corresponding to?

Answer 17

Correct.

Answer 18

Angles 1 and 5 are both left of the transversal and both above the two lines.
Angles 1 and 5 are corresponding angles.

Answer 19

What about this one?

Answer 20

Theorem:
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Answer 21

would it be 65?

Answer 22

Yes.

Answer 23

Okay, what about this one?
Would it be 55?

Answer 24

Yes.
Angles 1 and 4 are vertical angles, so their measures are equal.
Angles 4 and 12 are corresponding, so their measures are equal.
m<12 = 55 deg.