Answer:
Option (B)
Explanation:
By exterior angle theorem,
Exterior angle of a triangle is equal to the sum of two opposite interior angles.
By the given theorem,
8x - 30 = (4x + 8) + (2x + 2)
8x - 30 = 6x + 10
8x - 6x = 40
2x = 40
x = 20
m∠BAC = (2x + 2) = (2×20) + 2
= 42°
Therefore, Option (B) will be the answer.