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If the sum of the measure of 9 angles of a polygon with 10 sides is 1290 what is the measure of the tenth angle?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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What is the measure of one angle of a regular polygon with 11 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 convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
If you know the sum of the angles of a regular polygon how can you find the measure of one of the congruent angles?
Each interior angle = sum of angles/number of sides
If a regular polygon has exterior angles that measure 60 degrees how many sides does the polygon have?
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.
A convex polygon has 6 sides what is the sum of the measure of its interior angles?
a convex polygon has 6 sides . What is the sum of the measure of its interior angles?
What is the measure of one angle of a regular polygon with 11 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)
How many sides does a regular polygon have with an exterior angle measure of 1?
A regular polygon will have 360 sides with exterior angles of 181 degrees.
What is a polygon with the same sides and measurement?
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.
How many sides does a regular polygon have if the measure of an angle is 144?
A regular decagon, or 10-sided polygon, has interior angles of 144
What is the measure of an exterior angle of a regular polygon with 36 sides?
The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
If you know the sum of the angles of a regular polygon how can you find the measure of one of the congruent angles?
Each interior angle = sum of angles/number of sides
How many sides does a regular polygon have if each exterior angle measure is 30?
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.
How many sides does a regular polygon have if the measure of an angle is 1620?
If the interior angles add up to 1620 degrees then it has 11 sides
If a polygon has 20 angles how many sides does it have?
There is a corresponding side to every angle. 20... A polygon has as many sides as it does angles.
The measure of each interior angle in a polygon is 120What is the name of the polygon?
A regular hexagon which has 6 equal sides and 6 equal angles.
What is the sum of the interior angle measure of 15 sides polygon?
The interior angles of a 15 sided polygon add up to 2340 degrees.
