Question - Angle Classification in Geometry
Solution:
The image shows a homework assignment that deals with classifying angle pairs based on the position of two parallel lines (line m and line n) and a transversal.To solve the questions, we need to match each pair of angles with the correct description based on their location relative to the parallel lines and the transversal. Here are the answers:1. ∠3 and ∠7 - These are Alternate Exterior Angles because they are on opposite sides of the transversal and outside the two lines.Answer: C. Alternate Exterior2. ∠1 and ∠8 - These are Alternate Exterior Angles for the same reason as the first question.Answer: C. Alternate Exterior3. ∠2 and ∠5 - These are Corresponding Angles because each is in the same relative position at each intersection.Answer: A. Corresponding4. ∠4 and ∠5 - These are Alternate Interior Angles because they are on opposite sides of the transversal and between the two lines.Answer: B. Alternate Interior5. ∠4 and ∠6 - These are Consecutive Interior Angles (also known as Same-Side Interior Angles) because they are on the same side of the transversal and between the two lines.Answer: E. Consecutive Interior6. ∠2 and ∠6 - These are not any of the types listed because they do not form any of the classical angle pairs with each other.Answer: F. None of These
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