Question

question 1 (1 point)
in \\( \triangle a b c, m \angle a = 30 ^ { \circ } \\) and \\( m \angle b = 50 ^ { \circ } \\). which is the longest side of the triangle?
segment bc
segment ac
segment ab

Explanation:

Step1: Find the measure of angle \(C\)

The sum of angles in a triangle is \(180^{\circ}\). So, \(m\angle C=180^{\circ}-m\angle A - m\angle B\).
Substituting \(m\angle A = 30^{\circ}\) and \(m\angle B = 50^{\circ}\), we get \(m\angle C=180^{\circ}-30^{\circ}-50^{\circ}=100^{\circ}\).

Step2: Use the side - angle relationship

In a triangle, the larger the angle, the longer the side opposite it.
Since \(m\angle C\) is the largest angle (\(100^{\circ}\)), the side opposite \(\angle C\) is the longest side.
The side opposite \(\angle C\) is segment \(AB\).

Answer:

c segment \(AB\)