Answer:
∠ K = 63°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
118° is an exterior angle of the triangle , then
4x + 7 + 6x - 9 = 118
10x - 2 = 118 ( add 2 to both sides )
10x = 120 ( divide both sides by 10 )
x = 12
Then
∠ K = 6x - 9 = 6(12) - 9 = 72 - 9 = 63°
