Angle Relationships Problem Set

In the diagram below, transversals m and p are intersecting two parallel lines, a and w.

Part I

1. Identify all vertical angles.
2. Identify all linear pairs.
3. If m∠14 = 30°, then what is the m∠15?
4. If m∠2 = 160°, then what is the m∠1?
5. If m∠8 = 59°, then what is the m∠19?

Part II

6. Identify each pair of alternate interior angles.
7. Identify each pair of consecutive interior angles.
8. Identify each pair of alternate exterior angles.
9. Identify each pair of consecutive exterior angles.
10. Identify each pair of corresponding angles.
11. If m∠6 = 135°, then what is the m∠9?
12. If m∠28 = 60°, then what is the m∠13?
13. If m∠2 = 155°, then what is the m∠8?
14. If m∠23 = 75°, then what is the m∠25?
15. If m∠5 = 30°, then what is the m∠24?

This activity is also available in a printable document.

 

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