Question

Find the value of x.​

Answer 1

Hello!

`\large\boxed{x = 6}`

The figure pictured contains two congruent triangles (ASA), so we can assume that:

JK ≅ JM

Therefore:

2x - 4 = 4x - 16

Subtract 2x from both sides:

2x - 2x - 4 = 4x - 2x - 16

-4 = 2x - 16

Add 16 to both sides:

-4 + 16 = 2x - 16 + 16

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

x = 6.