Question

select the correct answer.
which list orders the angles of triangle abc from smallest to largest measure?
triangle image with sides ab=130, ac=120, bc=180
a. ∠a, ∠c, ∠b
b. ∠c, ∠a, ∠b
c. ∠b, ∠c, ∠a
d. ∠a, ∠b, ∠c

Explanation:

Step1: Match sides to opposite angles

• Side opposite $\angle A$: $BC = 180$
• Side opposite $\angle B$: $AC = 120$
• Side opposite $\angle C$: $AB = 130$

Step2: Order sides from smallest to largest

$120 < 130 < 180$, so $AC < AB < BC$

Step3: Relate to angles (smallest side → smallest angle)

Smallest side $AC$ corresponds to $\angle B$, middle side $AB$ corresponds to $\angle C$, largest side $BC$ corresponds to $\angle A$. So angles ordered smallest to largest: $\angle B, \angle C, \angle A$

Answer:

C. $\angle B, \angle C, \angle A$