Question

which list orders the angles of triangle abc from smallest to largest measure? a. ∠a, ∠c, ∠b b. ∠c, ∠a, ∠b c. ∠b, ∠c, ∠a d. ∠a, ∠b, ∠c

Explanation:

Step1: Recall angle - side relationship

In a triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

Step2: Identify side lengths

The side lengths are \(AB = 130\), \(BC=180\), and \(AC = 120\). The order of side - lengths from shortest to longest is \(AC

Step3: Determine angle order

The angle opposite \(AC\) is \(\angle B\), the angle opposite \(AB\) is \(\angle C\), and the angle opposite \(BC\) is \(\angle A\). So the order of angles from smallest to largest is \(\angle B,\angle C,\angle A\).

Answer:

C. \(\angle B,\angle C,\angle A\)