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The sum of the angles : (n - 2)180°
The measure of one angle: [(n - 2)180°]/n
Then we have:
[(n - 2)180°]/n = 140° multiply by n to both sides;
[(n - 2)180°] = 140°n
180°n - 360° = 140°n divide by 20 to both sides;
9°n - 18° = 7°n subtract 7°n and add 18° to both sides;
2°n = 18° divide by 2° to both sides;
n = 9
Thus, the regular polygon has 9 sides.
What else can I help you with?
If a polygon has 30 degree exterior angles how many sides does it have?
A polygon having 30 degree exterior angles is a dodecagon having 12 sides.
If sum the interior angles of a polygon is 5940 degrees how many sides does the polygon have?
35 sides
If the sum of interior angles of a polygon is 4680 degrees how many sides does the polygon have?
15 sides
If the sum of an interior angle measures of a polygon is 1080 degree's how many sides does the polygon have?
The sum of the interior angles of a polygon is 2n - 4 right angles - where n is the number of sides. So, 1080° = 1080/90 = 12 right angles If 2n - 4 = 12 then 2n = 16 : n = 8 The number of sides is 8.
How many sides does a 2880 polygon have?
A polygon whose interior angles are 2880 degrees has 18 sides.
If a polygon has 30 degree exterior angles how many sides does it have?
A polygon having 30 degree exterior angles is a dodecagon having 12 sides.
If a regular polygon has exterior angles that measure 60 degree each how many sides does the polygon have?
It has 360/60 = 6 sides
How many angles would a polygon with 10 sides have?
A polygon has as many angles as sides, so a polygon with 10 sides (decagon) would have 10 angles.
How many Sides does a polygon have with 175.2 degree angles?
If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides
How many angles are in polygon with 5 sides?
There are 5 angles in a polygon with 5 sides.
How many angles does a polygon with 16 sides have?
16 sides polygon have 16 angles
How many sides does a 176 degree polygon?
If it is regular, and all internal angles are 176 deg, then 90 sides.
How many sides does a 3600 degree polygon have?
If the interior angles add up to 3600 degrees then it will have 22 sides
If the sum of the interior angles of the regular polygon measure up to 1440 degree . how many sides does the polygon have?
It will have (1440+360)/180 = 10 sides which is a decagon
How many sides does a 360-degree polygon have?
A polygon whose angles add up to 360 degrees has four sides.
How many sides does a 2700 degree shape have?
A polygon whose internal angles sum to 2700 degrees has 17 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.
