In the diagram at the
right, m lmn = 116,
m jkm = 122, and
m jnm = 103. what is
m nkm?

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

step-by-step explanation: