To find: The value of measure LM.

hexacordoK

hexacordoK

Answered question

2021-05-09

To find: The value of measure LM.

Answer & Explanation

comentezq

comentezq

Skilled2021-05-11Added 106 answers

Given:
The given figure is as follows.
image
Calculation:
As shown in the figure JM=JL.
From the Reflexive Property of congruence, JF=JF.
The JFM, and JFL right anges because JFperpML.
From the HL congruence, JFM=JFL.
In congruent triangles, corresponding elemnts are congruent so MF=LF.
From the definition of congruent segments MF =LF =6.
From the segment Addition Postulate,
LM=MF+LF
=6+6
=12
Therefore, the value of measure LM is 12.

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