Answer:
C. 101°
Step-by-step explanation:
We have :
m∠KMN + m∠KML = 180 (supplementary angles)
On the other hand ,
4x + 81 + m∠KML = 180 (The interior angles of a triangle add up to 180°)
Therefore
m∠KMN + m∠KML = 4x + 81 + m∠KML
Then
m∠KMN = 4x + 81
Then
13x + 36 = 4x + 81
Then
13x - 4x = 81 - 36
Then
9x = 45
Then
x = 5
…………………………………
Conclusion:
m∠KMN = 13x + 36
= 13(5) + 36
= 65 + 36
= 101
