In the diagram at the
right, m LMN = 116,
M JKM = 122, and
M JNM = 103. What is
m NKM?

Answer:
77 Degrees
Step-by-step explanation:
Let ∠LMK=x
Hence ∠NMK=x (Given)
Also given that ∠ NML=116
And
∠ NML=∠ LMK+∠ NMK
Hence
x+x=116
2x=116
x=58
Let ∠ MNK=y
Given ∠JNK=∠ NMK=x
Also ∠ JNM=103
x+y=103
58+y=103
y=45
Now we have ∠ JKM=122
y+∠ NKM=122
Hence
45+∠ NKM=122
∠ NKM=122-45
∠ NKM=77
Hence ∠ NKM=77