In the given figure, PQ is parallel to BC. Angle CPQ = 45 degrees and angle APQ = 75 degrees. What is the value (in degrees) of angle CPB?
Show answer & explanation
Correct answer: B
Explanation
Given:
PQ ∥ BC, ∠CPQ = 45°, ∠APQ = 75°
According to the formula:
Alternate angles formed by parallel lines are equal, and the sum of angles at a single point is 180°.
∠APQ + ∠CPQ + ∠CPB = 180°
75° + 45° + ∠CPB = 180°
∠CPB = 180° − 120° = 60°