Question - Understanding Angle Relationships in Parallel Lines
Solution:
The image shows a pair of parallel lines labeled m and n with a transversal intersecting them, creating eight labeled angles. We need to match each set of angles with the correct geometric term provided in the list.1. ∠3 and ∠7: These angles are on opposite sides of the transversal and inside the space between the two parallel lines, making them Alternate Interior Angles. The correct answer is B. Alternate Interior.2. ∠1 and ∠8: These angles are on opposite sides of the transversal but outside the two parallel lines, making them Alternate Exterior Angles. The correct answer is C. Alternate Exterior.3. ∠2 and ∠5: These angles are in corresponding positions in relation to the parallel lines and the transversal, making them Corresponding Angles. The correct answer is A. Corresponding.4. ∠4 and ∠5: These angles are on the same side of the transversal and interior, which makes them Consecutive Interior Angles (also known as Same-Side Interior Angles). The correct answer is E. Consecutive Interior.5. ∠4 and ∠6: These angles are on opposite sides of the transversal and inside the parallel lines, making them Alternate Interior Angles. The correct answer is B. Alternate Interior.6. ∠2 and ∠8: These angles are on opposite sides of the transversal but outside the two parallel lines, making them Alternate Exterior Angles. The correct answer is C. Alternate Exterior.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com