Answer:
angle LKM = 110 degrees
Explanation:
angle JKL = 180 - (3x-70) because they are supplementary angles
angle JKL + x + 50 = 180 degrees because the sum of all the interior angles of a triangle equals 180 degrees
substituting for angle JKL:
180 - (3x - 70) + x + 50 = 180
180 - 3x +70 + x + 50 = 180
simplify:
-2x = -120
x = 60 degrees
angle LKM = 3(60)-70 = 110 degrees