Interior and Exterior of the Polygon
We will learn about the interior and exterior of the polygon.
Interior angles of the polygon:
Two consecutive sides meeting at a common point from an angle called the interior angle of the polygon.
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A quadrilateral has four interior angles. In the given adjoining figure of a quadrilateral ∠BAD, ∠ADC, ∠DCB and ∠CBA are the four interior angles. |
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A pentagon has five interior angles. In the given adjoining figure of a pentagon ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB are the five interior angles. |
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A hexagon has six interior angles. In the given adjoining figure of a hexagon ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB are the six interior angles. |
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Exterior angles of the polygon:
On extending the side of the polygon, the angle formed outside, between the extended side and its consecutive side is called the exterior angle of the polygon.
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A triangle has three exterior angles. In the given adjoining figure of a triangle ∠BAD, ∠ACF and ∠CBE and are the three exterior angles. |
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A quadrilateral has four exterior angles. In the given adjoining figure of a quadrilateral ∠DAE, ∠ABF, ∠BCG and ∠CDH are the four exterior angles. |
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A pentagon has five exterior angles. In the given adjoining figure of a pentagon ∠EAF, ∠ABG, ∠BCH, ∠CDI and ∠DEJ are the five exterior angles. |
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Note: An exterior angle and the adjacent interior angle form a linear pair.
● Polygons
Polygon and its Classification
Interior and Exterior of the Polygon
Number of Triangles Contained in a Polygon
Angle Sum Property of a Polygon
Problems on Angle Sum Property of a Polygon
Sum of the Interior Angles of a Polygon
Sum of the Exterior Angles of a Polygon
7th Grade Math Problems
8th Grade Math Practice
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