select the correct answer. which list orders the angles of triangle abc from smallest to largest measure? a…

select the correct answer. 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

select the correct answer. 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

Answer

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), (AC=120), and (BC = 180).

Step3: Determine angle order

The shortest side is (AC), the angle opposite it is (\angle B). The next - shortest side is (AB), the angle opposite it is (\angle C). The longest side is (BC), the angle opposite it 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)