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what is the value of b? submit

Question

what is the value of b?
submit

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(b + 40^{\circ}=b+(b + 8^{\circ})\)

Step2: Simplify the equation

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Answer:

\(b = 32\)