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Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides

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Q: Describe how you could find the angle sum of a regular polygon that has N sides?
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How many sides does a regular polygon have if the measure of an angle is 135?

It could have any amount of sides...angle doesn't matter.


What is a interior angle of a 29 side polygon?

It could be any size at all, just as long as all 29 of them add up to 4,860 degrees.If the polygon is regular, then each interior angle is 16717/29 degrees.


How many sides in a polygon whose interior angle is 174?

It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon.


Interior angle of a polygon has a measure of 140?

It could be an obtuse triangle. If it were a regular polygon then each of its external angles would be 180 -140 = 40 degrees. The sum of the external angles of any polygon is 360 degrees. So if each is 40 degrees, there must be 360/40 = 9 of them. So the polygon is a nonagon, BUT ONLY IF IT IS A REGULAR POLYGON.


Is a 100 sided regular polygon?

It can be but it also could be an irregular polygon


How many sides does a polygon have if the interior angle is 3580?

If an interior angle is 3580o there is a slight problem: a full turn is 360o and 3580o is more than a full turn.If the sum of the interior angles is 3580o, there would benumber_of_sides = 3580o ÷ 180 + 2= 218/9Another slight problem as the number of sides must be an integer.Thus I am lead to assume the question is:How many sides does a regular polygon have if one interior angle is 358o?But an interior angle of a regular polygon can't be greater than 180o. Another problem.ONE interior angle could be 358o, but then there could be three more angles of 1o, 0.5o and 0.5o; or four more angles of 1o, 1o, 1o, 179o; or five more angles, etc.Only solution possible is that there is no such (regular) polygon, or it is a polygon with an indeterminate number of sides (if one interior angle is 358o).


What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 90 degrees?

360 degrees, it could be a square or a rectangle


What is a angle inside of a polygon?

It depends. It could be anything.


Could a triangle be a regular polygon?

Yes, it is


How do you find the value of an angle?

You could measure it using a protractor, derive it from basic geometric properties (for example angles of a regular polygon), or calculate it using trigonometry.


What is a shape called with two equal sides and one right angle?

It could be an isosceles right triangle, or it could be a non-regular specimen of any polygon with more than three sides.


How many lines of symmetry does a regular polygon have?

It could be any, as polygon is a general term for a shape with many sides, so, a regular hexagon and a regular octagon are both polygons.