In the given figure, angle ABC = 65 degrees and angle ACD = 120 degrees. What is the value (in degrees) of angle BAC?
Show answer & explanation
Correct answer: C
Explanation
Given:
∠ABC = 65°, ∠ACD = 120°
According to the formulas:
The sum of angles on a straight line = 180°
The sum of angles in a triangle = 180°
∠ACB = 180° − 120° = 60°
In triangle ABC,
∠BAC = 180° − (65° + 60°)
= 180° − 125°
= 55°