Geometry

Question Analysis

This question involves finding the missing angle. The main focus is on understanding the properties of parallel lines cut by a transversal.

Key Concept Explanation:

When two parallel lines are cut by a transversal, alternate exterior angles are on opposite sides of the transversal and outside the two lines. The key property is that alternate exterior angles are congruent.

Step-by-Step Solution:

∵ m∥n (Given)

∴ m∠2 = m∠8 (Alternate Exterior Angles Theorem)

∵ m∠2 = 135° (Given)

∴ m∠8 = 135° (Substitution)

There...