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# Why is the sum of interior angles of polygons 180 degrees?

Updated: 12/15/2022

Wiki User

14y ago

depends what polygon because a decagon is 144 degrees

Wiki User

14y ago

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Q: Why is the sum of interior angles of polygons 180 degrees?
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180 degrees

### What polygon has an interior angle of 900 degrees and how may sides does it have?

Polygons do not normally have interior angles of 180 degrees or more.

### What is the different angle measure of interior angle for all polygons?

The interior angles of a triangle must lie within the range (0, 180) degrees. For all other polygons, the interior angles must be in the range (0, 360) excluding 180 degrees.

### What is the formulas to finding interior and exterior angles of regular polygons?

Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.

### What is the sum of the interior angles of a 3-sided ploygons?

180 degrees, for all 3-sided polygons and triangles

### What The sum of the interior angles of a polygons is 7200 degrees how many sides does it have?

It will have (7200+360)/180 = 42 sides

### Is a concave polygon is regular?

By definition a regular polygon cannot be concave. Concave polygons contain one or more interior angles that are greater than 180 degrees, and regular polygons can never have an interior degree greater than 180 degrees.

### Sum of interior angles of a polygon with 9 sides?

All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees

### The sum of the interior angles of a triangle is?

The sum of the interior angles of a triangle is 180 degrees. This is because one angle of a triangle is 60 degrees.

### How do you calculate interior angles in polygons?

You cannot calculate interior angles in a polygon. You can only calculate their sum. The sum of all the interior angles of an n-sided polygon is (n-2)*180 degrees. So for example, the interior angles of a triangle (n = 3) sum to 180 degrees. But the individual angles can be (1,1,178), or (30,60,90) or infinitely many other combinations.

180*2

### How many interior angles does a polygon have?

There are as many interior and exterior angles as there are sides (the line segments that make up the polygon. The sum of each pair of exterior angle and interior angle is 180 degrees, i.e. they are supplementary. For concave polygons, there will be at least one "negative" exterior angle paired with an interior angle of greater than 180 degrees - the total of the angles is still 180 degrees.