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.

 

Same-side interior angles are on the same side of the transversal and inside the two lines. The key property is that same-side interior angles are supplementary.

 

Step-by-Step Solution:

∵ AB ∥ CD (Given)

∴ m∠B = m∠C (Alternate Interior Angles Theorem)

∵ m∠B = 63° (Given)

∴ m∠C = 63° (Substitution)

∵ CB ∥ DE (Given)

Click "Show Answer" to reveal the answer and analysis