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Solution:
Given the exterior angles of a pentagon
The sum of the exterior angles of a polygon is 360°.
So we shall add all the given angles and equate to 360.
66 + 62 + 77 + 59 + 12x = 360
12x + 264 = 360
12x = 360 - 264
12x = 96
x = 8
The value of x is 8.
Summary:
The value of x in the given pentagon is 8.