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Answer: m∠B = 47°

Explanation:

A triangle's angles add up to 180°. Using this knowledge and the given angles, we can solve for m∠B. See attached. We can find the measure of ∠BAD using subtraction because of the angle addition postulate.

Next, we can create an equation.

Given:

180° = 27° + 106° + m∠B

Addition:

180° = 133° + m∠B

Subtract 133 degrees from both sides of the equation:

47° = m∠B

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