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Therefore, all its exterior angles measure the same as well, that is, 120 degrees. Since the sum of exterior angles is 360 degrees and each one measures 120 degrees, we have, Number of angles = 360/120 = 3. Since the polygon has 3 exterior angles, it has 3 sides. Hence it is an equilateral triangle.
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- Exterior Angles of A Regular Polygon
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A regular hexagon has 6 sides and 6 angles. Let us assume that each exterior angle of the hexagon is equal to 'k'. Let us imagine a circle that is starting at a point(labeled as a starting point) and is going to reach the same place again. It has to travel along the boundary or the outline of the hexagon to reach again to the starting point. In thi...
An irregular polygon has sides and angles of different measures. Let us take a look at the figure in which a quadrilateral has 4 unequal sides and angles. As in the case with a regular polygon, an irregular polygon also has exterior angles that add up to 360°. Each exterior angle in an irregular polygon also is (180° - its linear pair). Thus in the...
Exterior Angles of Polygons The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are "Supplementary Angles". Polygons. A Polygon is any flat shape with straight sides. The Exterior Angles of a ...
All the Exterior Angles of a polygon add up to 360°, so: Each exterior angle must be 360°/n (where n is the number of sides) ... We know the Exterior angle = 360 ...
Although you know that sum of the exterior angles is 360, you can only use formula to find a single exterior angle if the polygon is regular! Consider, for instance, the pentagon pictured below. Even though we know that all the exterior angles add up to 360 °, we can see, by just looking, that each $$ \angle A \text{ and } and \angle B $$ are not congruent..
Jun 14, 2023 · Sum of Exterior Angles. Since an exterior angle is formed by extending a side, the sum of the interior and the exterior angle on the same vertex of any polygon is 180°. The formula to determine the sum of exterior angles is derived below: Now, for any polygon with n sides, Sum of exterior angles + Sum of interior angles = n x 180° Thus,
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May 23, 2023 · Exterior Angle of Polygon Properties. The properties of exterior angles of a polygon is as follows: Exterior angles are the angles formed between two adjacent sides of a polygon, one side being extended. They are formed outside the polygon. The exterior angles of a polygon when added give a total of \(360^\circ\).
