https://file.aiquickdraw.com/mathbot/file/1726151800695o52q5e48.jpg

MO
and
PR
areparallellines.


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M
N
O
P
Q
R
S

Which angles are corresponding angles?


In this diagram, we have two parallel lines \( MO \) and \( PR \), with a transversal \( LQS \) crossing both of them. We are asked to identify the corresponding angles.

### Corresponding Angles:
When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that:
- Are on the same side of the transversal.
- One angle is inside the parallel lines and the other is outside.

Looking at the diagram:
- Angle \( \angle MNQ \) is inside the parallel lines and on the upper side of the transversal \( LQS \).
- The angle corresponding to \( \angle MNQ \) on the other side of the transversal would be \( \angle PQS \), as it is outside the parallel lines but on the same side of the transversal.

Therefore, the correct pair of corresponding angles is:
\[
\boxed{\angle MNQ \text{ and } \angle PQS}
\]

Do you want further details or have any questions?

Here are some related questions:
1. What are alternate interior angles in this diagram?
2. Can you identify any pair of vertically opposite angles?
3. What are the alternate exterior angles in this diagram?
4. How would you prove the lines \( MO \) and \( PR \) are parallel?
5. Can corresponding angles be supplementary in some cases?

**Tip:** Corresponding angles are always congruent when two lines are parallel and a transversal cuts across them.

MO and PR are parallel lines. Which angles are corresponding angles?

Learn how to identify corresponding angles when two parallel lines are cut by a transversal. This geometry problem explores key concepts such as corresponding angles and the corresponding angle theorem. Suitable for students in Grades 7-9.

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