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What is the sum of the measures of the interior angles of a regular 72 gon?
12,600 degrees -- and it doesn't matter whether the 72-gon is regular or not. The sum of the exterior angles (from an extension of each side to the next) of any polygon is always 360 degrees. Therefore the sum of the interior angles is always (number of sides) * 180 - 360. 72 * 180 - 360 = 70 * 180 = 12,600.
What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72?
540 degrees
What is the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is a 5 sided regular pentagon and each interior angle measures 108 degrees
Given an interior angle how do you find the sum of exterior angles of a polygon?
Given a shape as such... ______________________________________ / A=72 B=65 \ \ / \_C=105__________________D=110_______/ (sorta) You take the interior angles that you have and subtract them from 360 to get their supplementary angles, which would be the measure of the outside angles corresponding to the interior angles Measure of <A= 72- so 360- 72=288*; so the measure of the exterior angle corresponding to <A is 288* You can do the same thing for the rest of the angles in the polygon. Hope it helps...
What is the measure of an angle of a regular pentagon?
108 degrees. It would actually be 72 degrees because you take 360 and divide by 5 and get 72. ^_^ Actually it would be 108 degrees, because the sum of the interior angles of a pentagon is 540. ;]
What is the sum of the measures of the interior angles of a regular 72 gon?
12,600 degrees -- and it doesn't matter whether the 72-gon is regular or not. The sum of the exterior angles (from an extension of each side to the next) of any polygon is always 360 degrees. Therefore the sum of the interior angles is always (number of sides) * 180 - 360. 72 * 180 - 360 = 70 * 180 = 12,600.
How many sides does a regular polygon have if its interior angles are 175 degrees?
72
What is the sum of the measures of the interior angles of a regular polygon if the exterior angles are 72?
Each interior angle measures 108 degrees and the 5 angles of the regular pentagon add up to 540 degrees
What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?
There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.
What are the exterior angles of a 5 sided polygon?
The sum of the exterior angles of a n-gon is 360 degrees, whatever the vaue of n. If the polygon is regular, these exterior angles have the same measure, so each is 360/n degrees. So a regular pentagon has exterior angles of 360/5 = 72 degrees.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
What is the sum of the measures of the interior angles of a regulra polygon if each exterior angle measures 72?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon whose interior angles add up to 540 degrees
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
Does a pentogon have acute angles?
A regular 5 sided pentagon has exterior acute angles and interior obtuse angles each of 72 degrees and 108 degrees respectively
What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72?
540 degrees
What are the interior and exterior angles of a regular pentagon?
72 degrees and 288 degrees respectively.the exterior angles of a pentagon add up to 540 degrees
What is the measure of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is a 5 sided regular pentagon and each interior angle measures 108 degrees
