A polygon with 5 sides is shown with its exterior angles. The exterior angles are 62 degrees, 66 degrees, 77 degrees, 59 degrees, and (12 x) degrees. What is the value of x? 6 8 10 12

x=8

Step-by-step explanation:

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Answer: X equals 8.

Step-by-step explanation: The polygon in the question has 5 sides. However, it is an irregular polygon hence the sides are given as 62 degrees, 66 degrees, 77 degrees, 59 degrees and 12X degrees.

The size of the exterior angle of a polygon is calculated as

Angle = 360/n

Where n is the number of sides. So for a five sided polygon, the size of the exterior angle is calculated as

360/5 which equals 72. Since it is an irregular polygon, the sum of the exterior angles can be expressed as

62 + 66 + 77 + 59 + 12X = 360

264 + 12X = 360

Subtract 264 from both sides of the equation

12X = 96

Divide both sides of the equation by 12

X = 8