interior angle
Học thuậtThân thiện
Definition
- Noun:
- The angle inside two adjacent sides of a polygon: An interior angle is the angle formed on the inside of a polygon where two sides meet at a vertex.
Usage
- The term "interior angle" is used in geometry to describe and calculate the internal angles of polygons.
- It is typically measured in degrees.
- The sum of all interior angles in a polygon is determined by the formula (n-2) × 180°, where 'n' is the number of sides.
Examples
- Noun:
- In a square, each interior angle measures 90 degrees.
- To find the sum of the interior angles of a hexagon, use the formula (6-2) × 180°.
- The interior angle at the vertex of the triangle was acute.
Advanced Usage
- "Remote interior angles": In a triangle, the two interior angles that are not adjacent to a given exterior angle.
- An exterior angle of a triangle is equal to the sum of its two remote interior angles.
Variants and Related Words
- Internal angle: A synonym for interior angle.
- Exterior angle (n): The angle formed outside a polygon when one side is extended. It is supplementary to the adjacent interior angle.
- The exterior angle and its adjacent interior angle always add up to 180°.
Synonyms
- Internal angle
Antonyms
- Exterior angle: The angle formed outside the polygon.
Noun
- the angle inside two adjacent sides of a polygon