Question

ordering angles of a triangle
warm-up
use the relationship between the side lengths and the angles opposite those sides. what are the smallest and largest angles of △lmn?
the smallest angle of the triangle is
the largest angle of the triangle is
(image of triangle lmn with side lengths: lm = 27 in, mn = 25 in, ln = 24 in)

Explanation:

Step1: Identify side-angle opposite pairs

Side opposite ∠L: MN = 25 in
Side opposite ∠M: LN = 24 in
Side opposite ∠N: LM = 27 in

Step2: Order sides by length

24 in (LN) < 25 in (MN) < 27 in (LM)

Step3: Match to angles

Smallest side → smallest angle: LN opposite ∠M
Largest side → largest angle: LM opposite ∠N

Answer:

The smallest angle of the triangle is ∠M
The largest angle of the triangle is ∠N