How Many Sides Would A Polygon Have If Its Interior Angles Are Exactly 179?

How many sides does a polygon have if the sum of the interior angles is 1980?

Therefore, 1980° = (n – 2) * 180.

or, (n – 2) = 1980 / 180 = 11.

or, n = 13.

Therefore there are 13 sides in total..

What is the angle of a 8 sided polygon?

135°In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, “eight angles”) is an eight-sided polygon or 8-gon….Octagon.Regular octagonSchläfli symbol{8}, t{4}Coxeter diagramSymmetry groupDihedral (D8), order 2×8Internal angle (degrees)135°5 more rows

How many sides does a polygon have if the interior angle is 174?

60 sidesAdd 360 to both sides. Subtract 174n from both sides. Finally, divide both sides by 6. The polygon has 60 sides.

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.

What is a 13 sided shape called?

tridecagonIn geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.

What is 1000 sided shape called?

chiliagonIn geometry, a chiliagon (/ˈkɪliəɡɒn/) or 1000-gon is a polygon with 1,000 sides.

How many sides does a polygon have with an interior angle of 180?

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

What is a 100 sided shape?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is a 9999 sided shape called?

MyriagonRegular myriagonCoxeter diagramSymmetry groupDihedral (D10000), order 2×10000Internal angle (degrees)179.964°Dual polygonSelf5 more rows

What is a shape with 1 billion sides called?

A gigagon is a two-dimensional polygon with one billion sides. It has the Schläfli symbol.

What is a 69 sided polygon called?

Systematic polygon namesTensand60hexaconta–kai-70heptaconta-80octaconta-90enneaconta-5 more rows

What is the biggest sided shape?

In geometry, the rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.

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

eight sidesThe sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.

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

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.

What is a 120 sided shape called?

dodecacontagonIn geometry, a 120-gon is a polygon with 120 sides. The sum of any 120-gon’s interior angles is 21240 degrees. Alternative names include dodecacontagon and hecatonicosagon.