Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

One of the interior angle of a regular polygon is 165, find the number of sides of the polygon.

Question

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

One of the interior angle of a regular polygon is 165, find the number of sides of the polygon.

anonymous · Answer

hello?

anonymous · Answer

use this formula:

(n-2)*180/n   , where n = number of sides

campbell_st · Answer

if the interior angle is 165 the exterior angle is 15   as they are supplementary


the sum of the exterior angles is 360

so the number of sides(angles) = 360/15
                                              
the regular polygon has 24 sides

anonymous · Answer

165 = (n-2)*180/n

n = 24

campbell_st · Answer

the interior angle sum is 

$$Angle Sum = (24 - 2)\times 180 $$

the angle sum is 3960

anonymous · Answer

thanks guys! now one last question.. that's a little bit related.

Find the number of sides of a regular polygon with interior angle sum of 2160.

campbell_st · Answer

ok... use the formula 2160 = (n -2) *180

$$\frac{2160}{180} = n - 2$$

see if you can solve the above equation

anonymous · Answer

14? haah sorry I was gone for a long time :D

anonymous · Answer

uhm hello...?

ganeshie8 · Answer

correct :)