Answer:
x = 19
Step-by-step explanation:
Since, both the triangles (small and large) given in the picture are similar,
Their corresponding sides will be in the same ratio.
By applying this property,
[tex]\frac{20}{36}= \frac{30}{30+(x+5)}[/tex]
[tex]\frac{5}{9}= \frac{30}{x+35}[/tex]
5(x + 35) = 9 × 30
5x + 175 = 270
5x = 270 - 175
5x = 95
x = [tex]\frac{95}{5}[/tex]
x = 19
