remote interior angles
Remote interior angles refers to pairs of angles that are both interior angles of a polygon but are not adjacent to each other
Remote interior angles refers to pairs of angles that are both interior angles of a polygon but are not adjacent to each other. In other words, they are not next to each other along the polygon’s sides.
To find remote interior angles in a polygon, you can use a formula:
Remote Interior Angle = (n – 2) * 180° – Interior Angle
Where:
– n represents the number of sides or vertices of the polygon, also known as the polygon’s order.
– Interior Angle represents the measure of any interior angle of the polygon.
Here’s an example to illustrate how to find remote interior angles:
Let’s consider a pentagon, which is a polygon with five sides. The interior angle of a regular pentagon is 108°.
Using the formula with n = 5 and Interior Angle = 108°:
Remote Interior Angle = (5 – 2) * 180° – 108°
Remote Interior Angle = 3 * 180° – 108°
Remote Interior Angle = 540° – 108°
Remote Interior Angle = 432°
Therefore, in a regular pentagon, each pair of remote interior angles would measure 432°.
It’s important to note that this formula only applies to regular polygons, where all angles and sides are congruent. For irregular polygons, finding remote interior angles might require different methods depending on their specific characteristics.
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