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 .
- The two lines being crossed are and .
For alternate exterior angles:
- and are alternate exterior angles because they lie on opposite sides of the transversal and outside the lines and .
Thus, the correct answer is:
- and .
Would you like more details or have any questions? Here are some related questions:
- How can you identify alternate interior angles?
- What is the difference between corresponding and alternate angles?
- Can alternate exterior angles be supplementary?
- How are alternate exterior angles used in parallel line proofs?
- 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
-
Theorems
Alternate Exterior Angles Theorem
Suitable Grade Level
Grades 6-8