4,140
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.
It is an octagon each of whose sides is 5 cm long and each of whose interior angles measures 135 degrees.
ok
To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.
9000
find the sum of the measures of the interior angles of 13-gon.
Each interior angle of a regular hexagon measures 120 degrees. It has a total of 720 degrees of interior angles and a total of 360 degrees of exterior angles.
Total sum of interior angles: (37-2)*180 = 6,300 degrees
Yes
5040
Type your answer here... The sum of the angles in all polygons is 360 degrees. Thus, if you know the measure of the interior angles you can divide 360 by the measurement to find out how many interior angles and sides there are.
it equals to 3420 degrees
(number of sides - 2)*180 = sum of interior angles
Use the formula (n - 2)180 to find the sum of the measures of the interior angles of any regular convex polygon, where n is the number of sides. (n - 2)180 = (18 - 2)180 = (16)180 = 2880
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
You use the fact that the sum of the interior angles of a regular polygon with n sides is:180(n-2) degreesNow you have the sum of measures of all the interior angles so divide that by n and you have the measure of each interior angle.
ANY n-sided polygon has interior angles that sum to 180(n - 2) degrees. For an octagon this is 180 x 6 ie 1080 degrees (so the individual interior angles of a regular octagon are 135 degrees).