Answer:
D
Step-by-step explanation:
Since KL = JL then the triangle is isosceles with base angles congruent, that is
∠ K = ∠ J = 8x + 5
The sum of the 3 angles in the triangle = 180°
sum the angles and equate to 180
8x + 5 + 8x + 5 + 5x - 19 = 180
21x - 9 = 180 ( add 9 to both sides )
21x = 189 ( divide both sides by 21 )
x = 9
Then
∠ J = 8x + 5 = 8(9) + 5 = 72 + 5 = 77°
