ranemfrskh12 ranemfrskh12
  • 03-02-2021
  • Mathematics
contestada

9. Find m LMN.
(4x + 2)
M
-(7x - 37)
N
P
Plss

9 Find m LMN 4x 2 M 7x 37 N P Plss class=

Respuesta :

cairde
cairde cairde
  • 03-02-2021

Answer:

108°

Step-by-step explanation:

Triangle LPM is similar to triangle MPN (they share MP, LP=NP and they both contain right angles.

This means that ∠LMP = ∠ PMN:

∠LMP = ∠ PMN

4x+2 = 7x-37

3x=39

x=13

∠LMN = ∠LMP + ∠ PMN

= 4(13)+2 + 7(13)-37

= 54 + 54

=108°

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