CelluloidPIK
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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                  
 
                

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.