Best Answer

It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon

Q: What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

It has 32 sides and each interior angle measures 168.75 degrees and so 180-168.75 = 11.25 degrees which is the measure of each exterior angle

The exterior and interior angles of each vertex of a polygon add up to 180 degrees.

360 degrees. The sum of the measures of the exterior angles of any polygon is 360°.

Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.

For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 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