Question

list the angles of the triangle in order from smallest to largest.
choose the correct order of the angles from smallest to largest.
a. ∠k, ∠l, ∠m
b. ∠l, ∠m, ∠k
c. ∠l, ∠k, ∠m
d. ∠m, ∠k, ∠l
e. ∠k, ∠m, ∠l
f. ∠m, ∠l, ∠k

Explanation:

Step1: Recall the side - angle relationship

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

Step2: Compare the side lengths

We have side lengths \(LK = 2.4\), \(LM=4.9\), and \(KM = 5.8\). So, \(LK

Step3: Determine the angles opposite the sides

The angle opposite \(LK\) is \(\angle M\), the angle opposite \(LM\) is \(\angle K\), and the angle opposite \(KM\) is \(\angle L\).

Step4: Order the angles

Since \(LK

Answer:

D. $\angle M$, $\angle K$, $\angle L$