what is the sum of the measures of the interior angles of a 14-sided polygon

Question

danjs · Answer

sum of interior angles of any polygon = (n-2)*180

where n = number of sides

danjs · Answer

do you need that formula proved?

anonymous · Answer

Yes, please

danjs · Answer

Do you need to know the answer, or the derivation of the formula for the interior angles of a polygon

danjs · Answer

sum of the interior angles of a 14 sided polygon 
=
(14-2)*180 = 12*180 = 2160

danjs · Answer

The Exterior angles will always add up to 360

anonymous · Answer

i have a question what does it mean the number 2 ? I mean (n-2) ?
Can you explain me im doing a study guide

danjs · Answer

Ok
The sum of the interior angles of a triangle is 180 right?

anonymous · Answer

Yes

danjs · Answer

so a square(4 sided) can be made into 2 triangles by dividing it in half diagonally.
so a square has 2 triangles or 2*180 = 360 degrees total interior angles

understand that?

danjs · Answer

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danjs · Answer

3 triangles have 3*180 degrees as the sum of the intoerior angles right?

danjs · Answer

so a 5 sided figure has 3*180 total interior angles measure

danjs · Answer

the same process can be done for 6 7 8 9 or n sided polygons,

danjs · Answer

the trend is always the number of sides subtract 2 multiplied by 180 
(number of sides - 2) x 180

danjs · Answer

it stems from the fact that you know the sum of the interior angles of a triangle adds to 180 degrees.

anonymous · Answer

Now makes sense, thank you , and i have more questions can you help me ?

danjs · Answer

k

anonymous · Answer

?

danjs · Answer

hi