samanthabrooke0737 samanthabrooke0737
  • 08-02-2021
  • Mathematics
contestada


Given that triangle LMN is
similar to triangle GJH, what is
the value of x?

Given that triangle LMN is similar to triangle GJH what is the value of x class=

Respuesta :

grwan23
grwan23 grwan23
  • 08-02-2021

Answer:

x = 53

Step-by-step explanation:

Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.

Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do

180 =  67 + 60 + N

So, N = 180 - (67 + 60) = 180 - 127 = 53.

Since ∠N ≅ ∠H, ∠H = 53.

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