Question

type the correct answer in the box. use numerals instead of words.
consider \\( \triangle a b c \\).
determine the measure of angle c
\\( m \angle c = \\)

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(m\angle A + m\angle B + m\angle C=180^{\circ}\).

Step2: Solve for \(m\angle C\)

We know \(m\angle A = 48.36^{\circ}\) and \(m\angle B = 59.49^{\circ}\). Then \(m\angle C=180^{\circ}-(m\angle A + m\angle B)\). Substitute the values: \(m\angle C = 180-(48.36 + 59.49)\). First, calculate \(48.36+59.49 = 107.85\). Then \(m\angle C=180 - 107.85=72.15\).

Answer:

\(72.15\)