Answer:
x = 5
Step-by-step explanation:
The inner and outer triangles are similar by the AA postulate then the ratios of corresponding sides are in proportion, that is
[tex]\frac{x}{2}[/tex] = [tex]\frac{6+4}{4}[/tex] = [tex]\frac{10}{4}[/tex] = 2.5 ( multiply both sides by 2 to clear the fraction )
x = 5
