In the diagram shown, what is the measure of angle BAC?

Option (B)

Step-by-step 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.

b

step-by-step explanation:

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