Respuesta :
The value of x is 7
What is a regular octagon?
"It is the regular polygon with eight sides."
What is equation?
"It is a statement which consists of equal symbol between two mathematical expressions."
For given question,
We have been given the exterior angle of a regular octagon = 7x - 4
We know, the interior angle of regular octagon is 135°
So, the exterior angle of regular octagon would be,
180° - 135° = 45°
So, for given octagon we get an equation,
⇒ 7x - 4 = 45
⇒ 7x - 4 + 4 = 45 + 4
⇒ 7x = 49
⇒ 7x/7 = 49/7
⇒ x = 7
Therefore, the value of x is 7
Learn more about octagon here:
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