Math Problem Statement

Which angles are alternate exterior angles?

Solution

In the diagram provided, alternate exterior angles are formed when two lines are crossed by a transversal and lie on opposite sides of the transversal, outside the two lines.

Looking at the diagram:

  • The transversal is the line OLOL.
  • The two lines being crossed are KJKJ and PQPQ.

For alternate exterior angles:

  • KLJ\angle KLJ and POQ\angle POQ are alternate exterior angles because they lie on opposite sides of the transversal OLOL and outside the lines KJKJ and PQPQ.

Thus, the correct answer is:

  • KLJ\angle KLJ and POQ\angle POQ.

Would you like more details or have any questions? Here are some related questions:

  1. How can you identify alternate interior angles?
  2. What is the difference between corresponding and alternate angles?
  3. Can alternate exterior angles be supplementary?
  4. How are alternate exterior angles used in parallel line proofs?
  5. What role do transversals play in angle relationships?

Tip: Alternate exterior angles are congruent when the two lines crossed by a transversal are parallel.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Relationships
Transversals

Formulas

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Theorems

Alternate Exterior Angles Theorem

Suitable Grade Level

Grades 6-8