Question

determine the remaining sides and angles of the triangle abc.
a = 115.91°, c = 25.94°, c = 180
b = \\(\square\\)°

Explanation:

Step1: Recall triangle angle sum property

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

Step2: Solve for angle B

We know \(A = 115.91^\circ\) and \(C = 25.94^\circ\). Substitute into the formula: \(B=180^\circ - A - C\).
\(B = 180^\circ-115.91^\circ - 25.94^\circ\)
\(B=180-(115.91 + 25.94)\)
\(115.91+25.94 = 141.85\)
\(B = 180 - 141.85=38.15^\circ\)

Answer:

\(38.15\)