Question

Angle LMN = 116, Angle JKM = 122, and Angle JNM = 103. What is Angle NKM?

Answer 1

Answer:

angle of nkm is 45 if it is wrong sry

Answer 2

Answer:

77

Step-by-step explanation:

∠LMN = ∠LMK + ∠KMN = 116

Now, ∠LMK = ∠KMN as per figure

116 =  2 ∠KMN

So, ∠KMN = 58 -- 1

Now, ∠JNM = 103

∠JNM = ∠JNK + ∠KNM = 103

But, ∠JNK = ∠KMN  as given in figure

So, ∠JNK = 58

So, ∠KNM = 45 -- 2

Sum of all angles of Δ is 180.

So ∠NKM + ∠KNM + ∠KMN = 180

From 1 & 2

∠NKM = 180 - 58 - 45 = 77