CelluloidPIK
Answered

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Please I REALY NEED HELP
Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.

Also, m∠A = 108° and m∠C = 2(m∠M).

What is m∠M?

_________ °

Sagot :

aannad1
since two of the triangles are similar that means they are the same thing : 
<A = <L
108 = 108

<C is twice from <M so :
<C is 2x                 < M is x             


as you note down the answer you can draw two triangles and label them according to thier values,  you will see that triangle ABC has two things now  ;
                                                           a = 108   and   c = 2x
when you have two measures in a triangle you can find the 3rd one :
suppose that third < of  triangle ABC is x ;
108 + 2x + x = 180
108 + 3x = 180
 3x = 180 - 108 
 3x = 72 
  x = 24
                
                                          <m = 24 

further if you want to find C :
                                          < c = 2x 
                                      < c = 2 ( 24 ) 
                                       < c = 48                  
 
                

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