How many degrees are there in the sum of the interior angles of a twelve sided polygon?

Question

1016 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-31T00:39:02

Sum of the interior angles measures #1800^0#

enter image source here

Sum of the exterior angles of a polygon #n*theta = 360^0#

Since it's a 12 sided polygon,
#theta = 360/n = 360/12 = 30^0#

Interior angle = 180 - Exterior angle.

Interior angle #= 180 - 30 = 150^0#

Sum of the interior angles #= 12 * 150 = 1800^0#

Alternate Method :

Sum of interior angles of a polygon is #(2n - 4)# Right Angles.

For a 12 sided polygon, it is

#= (2*12 - 4) * 90 = (24-4) * 90 = 1800^0#