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If interior angle is 165 then exterior must be 15.

Exterior angles of regular n-sided polygon = 360/n.

As 360/n = 15, n must be 24

Q: In what type of regular polygon is each interior angle equal to 165 degrees?

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The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.

A regular polygon with each interior angle measuring 120 degrees is a hexagon.

Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.

If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.

The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.

Related questions

No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.

The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.

The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.

If each interior angle is 178 degrees then the regular polygon will have 180 sides.

A regular polygon with each interior angle measuring 120 degrees is a hexagon.

Providing thar it is a regular 15 sided polygon then each interior angle will be 156 degrees

Obtuse

It is 60 degrees.

Not possible - the smallest interior angle for a regular polygon is 60 degrees - which creates an equilateral triangle.

It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.

If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.