In the given figure, AB is parallel to CD. Angle PAB = 70 degrees and angle DCP = 110 degrees. What is the value (in degrees) of angle APC?
Show answer & explanation
Correct answer: D
Explanation
Given:
AB ∥ CD, ∠PAB = 70°, ∠DCP = 110°
According to the formula:
Alternate angles formed by parallel lines are equal.
∠PAB = ∠APC₁ = 70°
∠DCP = 110° ⇒ ∠ACP = 180° − 110° = 70°
∠APC = 180° − (70° + 70°) = 40°