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

In the diagram shown, what is the measure of angle BAC?-example-1
User Mogens
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1 Answer

4 votes

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.

User Jordy Dieltjens
by
5.9k points
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