Question

question 5 (multiple choice worth 2 points) (interior and exterior angles lc) for \\( \triangle a b c, m \angle a=41.3^{\circ} \\) and \\( m \angle b=103.4^{\circ} \\). determine \\( m \angle c \\). 144.7° 72.35° 54.7° 35.3°

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 can rewrite the formula as \(m\angle C = 180^{\circ}-(m\angle A + m\angle B)\). Substitute \(m\angle A = 41.3^{\circ}\) and \(m\angle B = 103.4^{\circ}\) into the formula:

$$
LATEXBLOCK0
$$

Answer:

\(35.3^{\circ}\) (the fourth option)