The sum of 5 angles of a nonagon is 800. 3 of the remaining angles are equal to the other angles and the other angle is 100 degree. Find the size of the equal angle​

Respuesta :

The nonagon with the sum of 5 angles of 800 and three of the remaining angles equal to the other angle has the equal angle as 120 degrees

What is a nonagon?

A nonagon is a polygon with 9 sides and interior angles.

Therefore,

sum of interior angles of a nonagon = 1260

let

x = size of the equal angles

800 + 3x  + 100 = 1260

900 + 3x = 1260

3x = 1260 - 900

3x = 360

divide both sides by 3

3x / 3 = 360 / 3

Therefore,

x = 120

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