Find the value of x in the diagram

Explanation

Sum of exterior angles of a polygon = 360^o

(x + 64) + 2x + (3x - 54) + 5x + 4x + 3x + (2x + 10) = 360^o

20x + 20 = 360^o

20x + 360 - 20 = 340^o

x = \(\frac{340}{20}\)

x = 17^o