In the given figure, angle ABC = 105 degrees, angle EDC = 135 degrees. AB is parallel to DE. What is the value (in degrees) of angle BCD?
Show answer & explanation
Correct answer: C
Explanation
Given:
∠ABC = 105°, ∠EDC = 135°, AB ∥ DE
By Formula:
Interior angles between parallel lines
Sum of angles on a straight line = 180°
∠BCX = ∠ABC = 105°
∠DCX + ∠EDC = 180°
∠DCX = 180° − 135° = 45°
Now,
∠BCD = ∠BCX − ∠DCX
= 105° − 45°
= 60°