https://file.aiquickdraw.com/mathbot/file/1727199839967o0342vje.jpg

This is an image of intersecting lines, likely representing a transversal cutting through two parallel lines, labeled as \( s \) and \( t \), forming angles. Angles are numbered 1 through 16. You are given that \( \angle 7 = 84^\circ \), and asked to find \( \angle 10 \).

From the diagram, it seems that angles 7 and 10 are corresponding angles, as they lie on the same side of the transversal and are in matching positions relative to the parallel lines \( s \) and \( t \).

### Corresponding Angles Theorem:
If two parallel lines are cut by a transversal, corresponding angles are equal. Hence, we can conclude that:
\[
\angle 7 = \angle 10
\]
Since \( \angle 7 = 84^\circ \), it follows that:
\[
\angle 10 = 84^\circ
\]

Would you like more details or further explanations? Here are five related questions to deepen your understanding:

1. What are alternate interior angles, and how can they help in solving transversal problems?
2. How do we identify corresponding angles in a transversal?
3. Are there other pairs of angles in this diagram that are equal by the Corresponding Angles Theorem?
4. What is the relationship between vertically opposite angles in this diagram?
5. How do we determine if two lines are parallel when intersected by a transversal?

**Tip:** When working with transversals, always check if the lines are parallel to apply angle theorems correctly.

Solve a geometry problem involving angles formed by a transversal cutting through parallel lines. Given that angle 7 is 84°, learn how to find the value of angle 10 using the Corresponding Angles Theorem. Suitable for Grades 7-9.

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