Question

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

Answer 1

x = 53

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.