The sum of the interior angles of a simple n-gon is (n − 2)180 degrees. So a ten sided polygon will have a total of (10-2)180 degrees, or 8 x 180, or 1440 degrees. If 9 of those total 1290 then the 10th must measure 1440 - 1290 = 150 degrees.
The measure of all angles in a polygon totals to 360 degrees. a regular polygon of 11 sides also has 11 angles. So the measure of one angle is 360/11 or 32.7272 degrees (or 32 degrees 43.63 minutes)
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
Each interior angle = sum of angles/number of sides
a convex polygon has 6 sides . What is the sum of the measure of its interior angles?
Exterior angle 60 therefore interior angle at that point 180 - 60 = 120 Figure is a hexagon (Internal angles = 12 - 4 right angles or 720 degrees) ?All polygons have exterior angles that sum to 360 degrees. An exterior angle of a polygon is found by "extending" one of the sides and measuring the angle between that extension and the "next" side. As the polygon in question is regular and has exterior angles of 60 degrees, it has 360/60 sides, or 6 sides.
The measure of all angles in a polygon totals to 360 degrees. a regular polygon of 11 sides also has 11 angles. So the measure of one angle is 360/11 or 32.7272 degrees (or 32 degrees 43.63 minutes)
A regular polygon will have 360 sides with exterior angles of 181 degrees.
The question is not sufficiently well defined: the answer depends on same as WHAT! A polygon with the same sides and angle measurements as the corresponding sides and angles of another polygon is a congruent polygon. A polygon in which all the sides are the same length and all the angles are of equal measure is a regular polygon.
A regular decagon, or 10-sided polygon, has interior angles of 144
The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
There is a corresponding side to every angle. 20... A polygon has as many sides as it does angles.
Each interior angle = sum of angles/number of sides
12 The sum of the exterior angles is 360˚. So we have 360/30 = 12 angles which is also the number of the polygon sides.
If the interior angles add up to 1620 degrees then it has 11 sides
A regular hexagon which has 6 equal sides and 6 equal angles.
The interior angles of a 15 sided polygon add up to 2340 degrees.