Question

If AJKL ~ AMKN, find the value of x.

Answer 1

14

Explanation:

The two triangles are similar

KN/KL = MN/JL

12/32 = (x+1)/(3x-2) multiply the fractions

36x-24 = 32x+32 export like terms to the same side

36x-32 = 32 + 24

4x = 56 divide both sides by 4

x = 14