Respuesta :
according to the angle-sum theorem, the sum of the measures of the angles of an n-gon is expressed in the formula B. (n – 2)*180. This is verified in a simplt triangle, in which the total sum of the angles inside is 180 with n of the polygon equal to 3. Hence, (3-2)*180 equal to 180 degrees.
The formula used to find the sum of the internal angles of a polygon with n sides is:
S(n) = (n - 2)*180°
Which formula should we use for the sum of the interior angles?
To check this, we can use the example of the triangle. We know that the sum of the internal angles of a triangle is equal to 180°.
Then, we need to see for n = 3 which of the two given options gives an angle of 180°.
A) (3 - 1)*180° = 360°
B) (3 - 2)*180° = 180°
That is enough to conclude that the correct option is B.
The formula used to find the sum of the internal angles of a polygon with n sides is:
S(n) = (n - 2)*180°
If you want to learn more about internal angles:
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