Question

In ΔABC, ΔJKL, and ΔMNP, ∠B < ∠K < ∠N. Also, AC = 3.5 cm and MP = 4.7 cm. What is the relationship between the angles ∠B, ∠K, and ∠N?

1) ∠B = ∠K = ∠N
2) ∠B < ∠K < ∠N
3) ∠B > ∠K > ∠N
4) ∠B = ∠N < ∠K

Answer 1

The correct relationship between the angles ∠B, ∠K, and ∠N is ∠B < ∠K < ∠N, as stated in option 2.

Step-by-step explanation:

The relationship between the angles ∠B, ∠K, and ∠N is given as ∠B < ∠K < ∠N. This indicates that the size of angle B is smaller than the size of angle K, and the size of angle K is smaller than the size of angle N in their respective triangles. The fact that side lengths AC and MP are given (AC = 3.5 cm and MP = 4.7 cm) does not affect the relationship between the angles. Therefore, the correct relationship according to the options provided is option 2) ∠B < ∠K < ∠N.