find the measure of each exterior angle of regular plygon (1)7sides
Answers
The measure of each exterior angle of a regular polygon =
n
360
o
⇒ The measure of each exterior angle of a regular pentagon =
5
360
o
=72
o
⇒ The measure of each exterior angle of a regular hexagon =
6
360
o
=60
o
⇒ The measure of each exterior angle of a regular heptagon =
7
360
o
please like
=51.43
o
⇒ The measure of each exterior angle of a regular polygon of 15 sides =
15
360
o
=24
o
Step-by-step explanation:
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
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