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360 degrees and it's probably a square

Q: What is the sum of the interior angles of a regular polygon if each exterior angle measures 90 degrees?

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1800 degrees

1440 degrees

1440 degrees

Interior angle = 120 degrees Exterior angle = 60 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

1800 degrees

1440 degrees

1440 degrees

Interior angle = 120 degrees Exterior angle = 60 degrees

Each exterior angle measures 20 degrees Each interior angle measures 160 degrees

540 degrees

The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.

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.

30 degrees

150 degrees.

1440 degrees

540 degrees