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- DictionaryEx·te·ri·or an·gle/ɪkˈstɪriər/
noun
- 1. the angle between a side of a rectilinear figure and an adjacent side extended outward.
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What is an exterior angle?
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Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles. In the given image ‘a’ and ‘b’ are interior angles and ‘d’ is the exterior angle.
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".
- Exterior Angles of A Regular Polygon
- Exterior Angles of An Irregular Polygon
- Topics Related to Exterior Angles of A Polygon
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...
The exterior angle theorem states that an exterior angle of a triangle equals the sum of two remote interior angles. Learn the statement, proof, and examples.
Nov 28, 2020 · The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of its remote interior angles. ( Remote Interior Angles are the two interior angles in a triangle that are not adjacent to the indicated exterior angle.)
How to define the interior and exterior angles of a triangle and then state several theorems involving the interior and exterior angles of a triangle. The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle.
Exterior angle: An exterior angle of a polygon is an angle formed by the side and extension of its adjacent sides. The exterior angles of polygon add up to 360°. In the image, ∠4, ∠5, and ∠6 are exterior angles. The sum of an interior angle and its corresponding exterior angle is always 180° since they lie on the same straight line.
