In the given figure, AB is parallel to CD. Angle PAB = 70 degrees and angle APC = 30 degrees. What is the value (in degrees) of angle DCP?
Show answer & explanation
Correct answer: B
Explanation
Given:
AB ∥ CD, ∠PAB = 70°, ∠APC = 30°
Formula:
The sum of the angles of a triangle = 180°
Alternate angles formed by parallel lines are equal.
In triangle APC:
∠PAC = 70° (since AB ∥ CD)
∠ACP = 180° − (70° + 30°)
= 180° − 100°
= 80°
∠DCP = 180° − 80°
= 100°