Respuesta :

Answer:

x = 10

Step-by-step explanation:

Segment representing 3x is midsegment of the given triangle.

so, by midsegment formula:

[tex]3x = \frac{1}{2} (4x + 20) \\ \\ \implies \: 3x = \frac{1}{2} \times 2(2x + 10) \\ \\ \implies \: 3x = 2x + 10 \\ \\ \implies \:3x - 2x = 10 \\ \\\implies \: x = 10[/tex]