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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 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.
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
Who many angles does a Irregular polygon have?
an irregular polygon is a polygon that is the opposite of a regular polygon in a regular polygon the sides are the same and the angles are the same and irregular is the opposite.
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 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 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 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
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
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.
