Answer:
K = 40 degrees
I = 50 degrees
Explanation:
Recall that the addition of all three internal angles of a triangle must give 180 degrees
Then 90 + (5 x - 5) + (4 x + 14) = 180
90 + 5 x + 4 x - 5 + 14 = 180
99 + 9 x = 180
9 x = 180 - 99
9 x = 81
x = 81 / 9
x = 9
Then we can find the measures of angles K and I as:
K = 5 x - 5 = 5 (9) - 5 = 40 degrees
I = 4 x + 14 = 4 (9) + 14 = 36 + 14 = 50 degrees