Quick Answer: Is It Possible To Have A Regular Polygon Whose Each Interior Angle Is 170 Degree?

Is it possible to have a regular polygon whose each interior angle is 170?

If the interior angle is 170 degrees, the exterior angle is 10 degrees.

So, since the exterior angle of this polygon has measure 10 degrees, then it has 360/10=36 sides..

What regular polygon has an interior angle of 170?

A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides.

How many sides does a regular polygon have with an interior angle of 177 degrees?

3 * 180 = 540o. 1) Find the number of sides if the measure of an interior angle is 177o in a regular polygon. Remember that the sum of the angles is (n-2)*180. 2) Find the measure of each interior angle if a regular polygon has 15 sides.

How many sides does a regular polygon have if the interior angle is 108?

Answer. Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5. Hence it is a regular pentagon.

How many sides does a regular polygon have if the interior angles each measure 165?

24Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon.

How many sides does a regular polygon have if the interior angle is 120?

6 sidesIf in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.

What is the sum of the interior angles of a regular polygon with 5 sides?

The General RuleShapeSidesSum of Interior AnglesTriangle3180°Quadrilateral4360°Pentagon5540°Hexagon6720°6 more rows

What is the sum of the interior angles of a polygon with 22 sides?

Find the sum of the interior angles of a 22-gon. Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚. Each angle of a regular polygon measures 157.5˚.

Is it possible to have a regular polygon whose each interior angle is 138 degree?

Answer: Step-by-step explanation: It impossible for a interior angle of a regular polygon to equal degrees. … The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or .

Is it possible to have a regular polygon whose interior angle is 125 degree?

The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.

How many sides does a polygon with an interior angle of 160 have?

18 sidesAnswer and Explanation: Hence, it has 18 sides.

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .