1. Lesson 12.2 Angles and Parallel Lines
Essential Question: How do you find the measures of angles cut by a transversal?

2. Before we start…
Find the measures of the numbered angles.

3. What are parallel lines?
Two lines in the same plane that do not intersect

4. What is a transversal?
A line that intersects two or more lines at different points

5. What are corresponding angles?
Two angles that occupy corresponding positions

6. What are alternate interior angles?
Two angles that lie between the two lines on opposite sides of the transversal

7. What are alternate exterior angles?
Two angles that lie outside of the two lines on opposite sides of the transversal

8. In the diagram of the John Hancock Center in Chicago, line t is a transversal. Identify the corresponding angles, alternate interior angles and alternate exterior angles.

9. Angles and Parallel Lines

10. In the diagram, transversal t intersects parallel lines m and n
In the diagram, transversal t intersects parallel lines m and n. If 𝑚∠1=75°, find the measures of the other numbered angles.

11. Use the diagram to find the angle measure.

12. Use the diagram to find the angle measure.

13. Use the diagram to find the angle measure.

14. Use the diagram to find the angle measure.

15. Use the diagram to find the angle measure.

16. Use the diagram to find the angle measure.

17. Use the diagram to find the angle measure.

18. Use the diagram to find the angle measure.

19. Use the diagram to find the angle measure.

20. Use the diagram to find the angle measure.

21. How do you find the measures of angles cut by a transversal
How do you find the measures of angles cut by a transversal? Use the information given. - Corresponding angles are equal measures - Alternate interior angles are equal - Alternate exterior angles are equal

22. Ticket Out the Door
Find 𝑚∠4