Question

Use the figure to answer the question.



In the picture, one angle is labeled 22°
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

To determine which angles are also 22° when lines S and T are parallel, we can use the properties of corresponding angles, alternate interior angles, and consecutive interior angles.

1. **Corresponding angles** are equal when a transversal intersects parallel lines.
2. **Alternate interior angles** are also equal when a transversal intersects parallel lines.
3. **Consecutive interior angles** add up to 180° but are not equal.

Since one angle is given as 22°, look for the angles that are either corresponding or alternate interior angles relative to this angle.

Typically, if you have one angle of 22°, the corresponding angle on the opposite side of the transversal and the alternate interior angle will also be 22°.

If you assume you found:
- 1 corresponding angle on the same side (22°)
- 2 alternate interior angles (1 on each side of the transversal) equal to 22°.

In total, you would have found 3 angles equal to 22° in addition to the original angle.

Therefore, the answer is **3**.