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 interior angles are on opposite sides of the transversal and inside the two lines. The key property is that alternate interior angles are congruent.

Step-by-Step Solution:

∵ m∥n (Given)

∴ m∠4 = m∠6 (Alternate Interior Angles Theorem)

∵ m∠4 = 150° (Given)

∴ m∠6 = 150° (Substitution)

Therefo...