xomqnick
xomqnick
25-05-2018
Mathematics
contestada
PLEASE HELP. WILL GIVE BRAINLIEST
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choixongdong
choixongdong
25-05-2018
Triangle ABC is similar to triangle LMN
m<A = m<L = 60
m<C = m<N
m<B = m<M
Lets x = m<M
so
m<C = m<N = 3x
and sum of interior angles of a triangle = 180
so
m<L + m<N + m<M = 180
60 + 3x + x + 180
4x + 60 = 180
4x = 120
x = 30
m<M = x = 30
answer
m<M = 30°
Answer Link
sqdancefan
sqdancefan
25-05-2018
∠M corresponds to ∠B, so we have ...
m∠C = 3(m∠B)
Then the sum of angles of the triangle is
m∠A + m∠B + m∠C = 180°
60 + B + 3B = 180 . . . . . . . . . use B to mean m∠B
4B = 120
B = 120/4 = 30
m∠M = m∠B = 30°
Answer Link
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