Let P be an intersection point of LM and HK.
Consider D KPM,
\ m Ð KPM + k + m = 180 ......(1) [Sum of the measures of angles of a triangle]
Similarly, D LPH,
m Ð LPH + h + l = 180 ......(2) [Sum of the measures of angles of a triangle]
From (1) and (2),
m Ð KPM + k + m = m Ð LPH + h + l
But Ð KPM @ Ð LPH [Vertically opposite angles]
\ m Ð KPM = m Ð LPH
Using the cancellation property of equality, we get
k + m = h + l
Ans : C