Question

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.

Answer 1

Well looking at the information in triangle ABC you know 

Angle B + Angle C = 180 - 144

so Angle B + Angle C = 36

since the triangles are similar let angle M = x   

then Angle C = 2x        and angle B = angle M but the similarity postulate

so form an equation 

2x + x = 36 

solve for x 

Hope it helps

Answer 2

Answer:

Step-by-step explanation:

A=144

180-144=36

36 divided by 2= 18

144+18+18=180

M=18