In the given figure, angle ABC = 110 degrees, angle EDC = 140 degrees. AB is parallel to DE. What is the value (in degrees) of angle BCD?
Show answer & explanation
Correct answer: D
Explanation
Given:
∠ABC = 110°, ∠EDC = 140°, AB ∥ DE
Interior angles between parallel lines
Sum of angles on a straight line = 180°
∠BCX = ∠ABC = 110°
∠DCX + ∠EDC = 180°
∠DCX = 180° − 140° = 40°
∠BCD = ∠BCX − ∠DCX
= 110° − 40°
= 70°