Exterior Angles: How To Calculate And Apply Them In Geometry

remote interior angles

The angles of a triangle that are not adjacent to a given exterior angle

In geometry, an interior angle is an angle formed between two sides of a polygon, inside the polygon. The remote interior angles in a polygon are the two angles that are not adjacent or next to a given angle.

To find the remote interior angles of a polygon, you can use the following formula:

Remote Interior Angle = (n-2)180 – Interior Angle

where:
– n is the number of sides of the polygon
– Interior Angle is the given interior angle

For example, if you have a pentagon (a polygon with 5 sides) and the interior angle is 120 degrees, you can find the remote interior angles as follows:

Remote Interior Angle = (n-2)180 – Interior Angle
= (5-2)180 – 120
= 540 – 120
= 420 degrees

Therefore, the two remote interior angles in this case are both 420 degrees.

It is important to note that the sum of the interior angles of a polygon is always (n-2)180 degrees, where n is the number of sides. Therefore, if you know some of the interior angles of a polygon, you can find the remaining angles using this formula.

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