The Interior Angles of a Triangle add up to 180°, and the formula for calculating the size of an interior angle can be obtained in three ways: by using a triangle angle calculator, by calculating the sum of interior angles ÷ the number of sides, or by using the law of sines.
The sum of interior angles of a polygon is 180(n-2) degrees, where n is the total number of sides. To find the measure of a single interior angle of a regular polygon with n sides, one needs to subtract 2 from the number of sides, multiply it by 180, and divide it by n.
To find the value of an individual interior angle of a regular polygon, one needs to subtract 2 out of the number of sides, multiply it by 180, and divide it by n. The same formula, S=(n-2)×180°, can be used to find out how many sides a polygon has, if the value of S is known.
The sum of interior angles of a polygon can be calculated by splitting it into triangles and multiplying the number of triangles by 180°. Each interior angle of a regular polygon with n sides can be calculated as θ=180(n−2)n or θ=180n−360n.
The sum of all interior angles in a polygon can be found by multiplying the number of sides minus two by 180 degrees. For example, the angle at A = 111.8° can be determined using the formula for finding the sum of interior angles.
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