In a ΔABC, side BC is extended to point 'D', such that ∠ACD = 119°. If ∠BAC = (4/3) x ∠ABC, then find the value of ∠BAC.
Show answer & explanation
Correct answer: C
Explanation
Given:
∠ACD = 119° (exterior angle)
∠BAC = (4/3) × ∠ABC
By formula:
Exterior angle = sum of two opposite interior angles
∠BAC + ∠ABC = 119°
Let
∠ABC = x
∠BAC = (4/3)x
(4/3)x + x = 119
(7/3)x = 119
x = 51°
∠BAC = (4/3) × 51 = 68°