Answer:
42 degrees
Explanation:
The two identical lines in sides JK and KL means that the sides are equal. This means that the triangle is an isosceles triangle with the angles J and L being equal. This means that 54+x and 5x-6 are equal. We set this as 54+x = 5x-6. We simplify this to get x = 15. Angle J and L are equal to 69. The angles in a triangle add up to 180, so 69+69 = 138. 180-138 = 42, which is angle K