Question

determine the remaining sides and angles of the triangle abc.the measure of angle b is □°.(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(A + B+C=180^{\circ}\).
Given \(A = 38.4^{\circ}\) and \(C = 113.9^{\circ}\).
We substitute the values into the formula \(B=180^{\circ}-(A + C)\).

Step2: Calculate the value of \(B\)

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Answer:

\(27.7\)