Answer:
x = 90
y = 50
Arc LM = 100
Step-by-step explanation:
Arc MK = 180 degrees
<x = 1/2 Arc MK
<x = 90 degrees
<x + <y + 40 = 180 all angles in a triangle add to 180
90 + <y + 40 = 180
130 + < y = 180
Subtract 130 from each side
< y = 50
Arc LM
1/2 Arc Lm = <y
1/2 Arc LM = 50
Multiply by 2
Arc LM = 100
