In the given figure, angle ACB = 55 degrees and angle DBA = 125 degrees. What is the value (in degrees) of angle BAC?
Show answer & explanation
Correct answer: D
Explanation
Given:
∠ACB = 55°
∠DBA = 125°
Sum of angles on a straight line = 180°
Sum of angles in a triangle = 180°
∠DBA + ∠ABC = 180°
⇒ 125° + ∠ABC = 180°
⇒ ∠ABC = 55°
Now, in triangle ABC:
∠BAC + ∠ABC + ∠ACB = 180°
⇒ ∠BAC + 55° + 55° = 180°
⇒ ∠BAC = 70°