What is the sum of the measures of the vertex angles of a 27-sided polygon? My answer came out as 166.67 degrees. Did I use the right formula?
2007-09-01 19:12:34 · 3 answers · asked by Jen 4 in Science & Mathematics ➔ Mathematics
Heh, well you worked a little to hard.
Unfortunately you used the wrong formula. The one you used gave your the measure for each vertex angle and not the sum.
The formula you should have used is: 180(n-2).
No matter just multiply your answer by 27 to get the real answer: 4500.
2007-09-01 19:18:12 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Hi, I was wondering - did you mean the interior angles of a 27-sided polygon? Then if so, you should be using the formula sum of angles = (n-2) * 180 which means 25 * 180 degrees which you shall get 4500 degrees altogether.
If you are calculating each individual interior angle, provided its a regular polygon, then you divide the answer by 27, hence each interior angle is 166.67 degrees, like what you said. Hope this helps!
2007-09-02 02:20:15 · answer #2 · answered by Siti J 1 · 0⤊ 0⤋
The formula is
Interior Angle sum = 180⁰ (n-2)
where n = number of sides of polygon
Interior Angle sum = 180 (27-2) = 4500⁰
if the shape is regular (all sides and angles are equal) then:
4500⁰ / 27 =166 2/3 ⁰ per angle
2007-09-02 02:25:24 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋