In the given figure, angle ABD = 110 degrees and angle ACE = 125 degrees. What is the value (in degrees) of angle BAC?

Correct option is B

Given:
Exterior angle ABD = 110°
Exterior angle ACE = 125°
Formula Used:
Angles on a straight line sum to 180°.
Sum of interior angles of a triangle = 180°
Solution:
Calculate the interior angle ABC using the linear pair property.
Angle ABC = 180 - 110 = 70
Calculate the interior angle ACB using the linear pair property.
Angle ACB = 180 - 125 = 55
Now, use the angle sum property of triangle ABC to find angle BAC.
Angle BAC + Angle ABC + Angle ACB = 180
Angle BAC + 70 + 55 = 180
Angle BAC + 125 = 180
Angle BAC = 180 - 125
Angle BAC = 55
Final Answer
So the correct answer is (b)