Question

determine the remaining sides and angles of the triangle abc.
the measure of angle b is \\(\square^{\circ}\\)
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \( \angle A + \angle B + \angle C = 180^\circ \).

Step2: Substitute known angles

We know \( \angle A = 34.7^\circ \) and \( \angle C = 102.2^\circ \). Substitute these into the formula: \( 34.7^\circ + \angle B + 102.2^\circ = 180^\circ \).

Step3: Solve for \( \angle B \)

Combine like terms: \( \angle B + 136.9^\circ = 180^\circ \). Subtract \( 136.9^\circ \) from both sides: \( \angle B = 180^\circ - 136.9^\circ = 43.1^\circ \).

Answer:

\(43.1\)