Question

In the figure, the horizontal lines are parallel and AB=BC=CD. Find the measure of JM. The diagram is not drawn to scale.

Answer 1

Answer:

21 is correct answer.

Step-by-step explanation:

Given: AM || ML || CK || DJ and AB=BC=CD

To Determine: JM=?

Construction: Join AK which intersect BL at E ( In Attachment)

Calculation:

In ΔAKC , B is mid point of AC and BE || CK

Therefore, E is also mid point of AK. By converge of mid point theorem.

AE=EK

In ΔAKM , E is mid point of AK and LE || AM

Therefore, L is also mid point of MK. By converge of mid point theorem.

ML=LK

Similarly, We can prove LK=KJ

Where, ML=LK=KJ=7

JM=ML+LK+KJ

JM=7+7+7

JM=21

Thus, 21 is correct answer.

Answer 2

The answer is B. 21 because, LM is 7, and Just as AB=BC=CD, JK=KL=LM.
Adding them all together would equal 21.