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Euclidea Wiki. in: V-stars, Theta, Missing Quip, and 3 more. Interior Angles. 8.3 Interior Angles. Level Information. Instruction: Construct a line through the point that crosses the two lines so that the interior angles are equal. Goal: 2L 4E 2V. Available Tools: Location Information. Pack: Theta. Previous Level: 8.2 Angle 54° Trisection.
In geometry, an interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle on the inner side of the polygon. A simple polygon has exactly one internal angle per vertex.
When two parallel lines are intersected by a transversal, two groups of four angles of equal measurement are created. The four smaller angles have equal measurements just as the four larger angles.
For a simple polygon (non-self-intersecting), regardless of whether it is convex or non-convex, this angle is called an internal angle (or interior angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex.
The General Rule. Each time we add a side (triangle to quadrilateral, quadrilateral to pentagon, etc), we add another 180° to the total: So the general rule is: Sum of Interior Angles = (n −2) × 180 °. Each Angle (of a Regular Polygon) = (n −2) × 180 ° / n. Perhaps an example will help: Example: What about a Regular Decagon (10 sides) ?
The angles that lie inside a shape, generally, a polygon, are said to be interior angles, or the angles that lie in the area enclosed between two parallel lines that are intersected by a transversal are also called interior angles. Learn more about interior angles in this article.
Interior angles refer to interior angles of a polygon or angles formed by a transversal cutting two parallel lines. Learn the different meanings with examples.
