Respuesta :

370499

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

lhmarianateixeira

using only knowledge of polygons we have to calculate the value of X, like this:

X= 8

What is a polygon?

Polygons are closed lines formed only by line segments that do not intersect. In other words, they are flat geometric figures formed by sides, which, in turn, are line segments.

Given the information as:

  • The polygon in the question has 5 sides.
  • sides are given as 62 degrees, 66 degrees, 77 degrees, 59 degrees and 12X degrees.

Since it is an irregular polygon, the sum of the exterior angles can be expressed as

[tex]62 + 66 + 77 + 59 + 12X = 360\\264 + 12X = 360\\12X = 96\\X = 8[/tex]

See more about polygon at brainly.com/question/10441863

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