What Is The Measurement Of An Exterior Angle?


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Akshay Kalbag Profile
Akshay Kalbag answered
The term exterior angle, when used in the context of a geometric figure, is defined as the supplement of an interior angle of a polygon. The exterior angle of a polygon is defined as the angle outside a polygon which is formed by extending one of its sides.

It is also defined as the angle which is formed between one side of a polygon and the extension of an adjacent side. The sum of the exterior angles of any convex polygon is 360 degrees. This assumes that only one exterior angle is taken at each of the four vertices.

Therefore, to obtain the exterior angle of a polygon, you have to divide 360 degrees (which is the numerator) by the variable, which is represented by the lower case letter n, in the denominator. The formula to find the measurement of an exterior angle, therefore, is 360degrees/n. The variable n is this context refers to the number of sides in a polygon.

If the figure has four sides, the measurement of the angle will be 360 degrees divided by four, namely 90 degrees. Therefore, a four-side figure will have right angles (that is, angles that measure 90 degrees) as its exterior angles.

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