The correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C
<h3>How to determine the angle</h3>
Given that;
∠ K = (4x + 5)°
∠ J = 6x + 1
∠ L = 8x + 30 = 180 ( angles on a straight line)
Note that the sum of the angles of a triangle is 180°
∠ K + ∠ J + ∠ L = 180
6x + 1 + 4x + 5 + 8x + 30 = 180
collect like terms
18x = 180 - 36
18x = 144
Make 'x' the subject
x = 144/ 18
x = 8
Substitute the values
∠ JKL = (4x + 5)° = 4(8) + 5 = 37°
∠KJ L = (6x + 1)° = (6(8) + 1) = 49°
∠ KLM = 8x + 30 = 8(8) + 30 = 94°
∠ JLK = 8x + 30 = 180 = 180 - 94 = 86°
Thus, the correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C
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