Answer:
x = 14
Step-by-step explanation:
Since, given Pentagons are similar because their measures of internal angles are same. So, their corresponding sides would be in proportion.
[tex] \frac{x + 4}{x} = \frac{9}{7} \\ \\ \frac{x + 4 - x}{x} = \frac{9 - 7}{7} \\ \frac{4}{x} = \frac{2}{7} \\ \\ \frac{2}{x} = \frac{1}{7} \\ \\ x = 2 \times 7 \\ \\ x = 14[/tex]
