Question: Is It Possible To Have A Polygon The Sum Of Whose Interior Angle Is 750 Degree?

What is the sum of the interior angles of a Heptagon?

900°Heptagon/Sum of interior angles.

How many sides does a polygon have with an interior angle of 2160?

14 sidesThe sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)-360 = (n-2) x 180 degrees. Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides.

What is the sum of the interior angles for a 24 Gon?

In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.

How much is the sum of the interior angles of a polygon?

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

Is it possible to have a regular polygon whose each interior angle is 145 degree?

Answer. No it is not possible as all interior angles of any regular polygon is equal to 145 …

What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

Is it possible to have a regular polygon each of whose interior angle is 100?

Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.

What’s the interior angle of a decagon?

144°Decagon/Internal angle

How many sides does a regular polygon have if the interior angle is 45?

eightSince your problem specifies a regular polygon (one with equal length sides and angles), we can determine the number of angles (and therefore the number of sides) by dividing 360 degrees by 45 degrees. So your regular polygon is eight-sided, i.e., an octagon.

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 have if the sum of its interior angles is 720?

6 sidesSince the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

How many sides does a polygon have if the sum of the interior angles is 1800?

Explanation: The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.

How do you find the sum of interior angles?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

What is the sum of the interior angles of a hexagon 6 sides?

So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)…

What polygon has an interior angle sum of 3240?

icosagonIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

What is a polygon called if the sum of its interior angles equals 1440?

So, the sum of the interior angles of a decagon is 1440 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above)… And there are ten angles…

What is the sum of the interior angles of a polygon with 10 sides?

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

What is the sum of the interior angle of a triangle?

180°Triangle/Sum of interior angles

How many sides have a polygon if the sum of the interior angles is 1080 degrees?

8 sidesThe polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.

What is the sum of the interior angles of a hexagon?

720°Hexagon/Sum of interior angles

What is the interior angle of a pentagon?

108°Pentagon/Internal angle