Question

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Answer 1

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