Law of cosines: a2 = b2 + c2 – 2bccos(a) what is the measure of n to the nearest whole degree? 35° 45° 55° 65°

The measure of angle N is 55°

Step-by-step explanation:

we know that

the law of cosines established

a² = b² + c² – 2*b*c*cos(A)

so

In this problem we have

a=ML=5.74 units

b=LN=4 units

c=MN=7 units

∠A=∠N=?

see the attached figure to better understand the problem

a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]

cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236

A=arc cos (0.57236)--------> A= 55°

therefore

The measure of angle N is 55°

answer: 59

step-by-step explanation: