In the picture, one angle is labeled 22°

Question

and lines S and T are parallel. Which other three angles will be 22°
?

(1 point)
Responses

2
2

1
1

3
3

6

Answer 1

If lines S and T are parallel and one angle formed by a transversal cutting through them is labeled 22°, then the other angles that will also be 22° are the angles that are corresponding, alternate interior, and alternate exterior to that angle.

Here's how they work:

1. Corresponding angles: If a transversal crosses two parallel lines, corresponding angles are equal.
2. Alternate interior angles: If a transversal crosses parallel lines, the alternate interior angles are equal.
3. Alternate exterior angles: If a transversal intersects parallel lines, the alternate exterior angles are equal.

Since you have one angle labeled as 22°, you can conclude that there are three other angles that will also measure 22° (one corresponding angle, and one alternate interior angle, and one alternate exterior angle).

So, the answer is 3 angles will also be 22°.