Question

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 the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Identify the sides and their opposite angles

Side \(BC = 180\) (opposite \(\angle A\)), side \(AB=130\) (opposite \(\angle C\)), side \(AC = 120\) (opposite \(\angle B\)).

Step3: Compare side lengths

Since \(120<130<180\), then \(\angle B<\angle C<\angle A\) (by the side - angle relationship in a triangle).

Answer:

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