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