Question

For what value of x are AXYZ and AJKL similar?

х
(3x)
34
Y
Z
Not drawn to scale
a. * = 12
b. x =18
0.
36
d x = 54

Answer 1

I believe x = 12

Explanation:

If the triangles were similar then they would have the same angle measures.

Steps:

Add angle K and L: 90 + 54 = 144

Subtract the added angles from 180 to find angle J: 180 - 144 = 36

Angle J is similar to angle X so, divide 36 by 3: 36/3 = 12

x = 12