Respuesta :

Answer:

x = 41

Step-by-step explanation:

Number of sides , n

[tex]n = 10[/tex]

[tex]Interior \ angle= \frac{(n-2) \times 180}{n}[/tex]

[tex](5x -61) = \frac{(10-2) \times 180}{10}\\\\(5x - 61) = \frac{8 \times 180}{10}\\\\5x -61 = 144\\5x = 144 + 61\\x = 41[/tex]

Interior angle = 5x - 61 = (5 x 41) - 61 = 144