Answer:
The correct option is A. 15 units
Step-by-step explanation:
Given : The horizontal lines are parallel. ⇒ MA ║ LB ║ KC ║ JD .
LM = 5 units . AB = BC = CD
To Find : Length of JM
Solution : Since the horizontal lines are parallel and the lines MJ and AD are transversal. So, By the transversal theorem :
If segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.
⇒ If AB = BC = CD then ML = LK = KJ
Now, JM = LM + KL + KJ
⇒ JM = LM + LM + LM
⇒ JM = 3 × LM
⇒ JM = 3 × 5
⇒ JM = 15 units
Therefore, The correct option is A. 15 units
