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The interior angles add up to 360 degrees.

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

What is the measure of the interior angle and the exterior angle of a regular polygon with 20 sides?

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


What is the measure of an exterior angle of a regular polygon in which the interior angles measures 150 degrees?

30 degrees


An exterior angle of a regular polygon measures 30 degrees What is the measure of an interior angle?

150 degrees.


What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?

Hint: in a regular polygon interior plus exterior = 180o, always.


What is the sum of the measure of the interior angle of a regular polygon if each exterior angle measures 90degree's?

360 degrees.


How many sides does the regular polygon have if each interior angle measure is four times the measure of each exterior angle measure?

It will have 10 sides and each interior angle measures 144 degrees while each exterior angle measures 36 degrees


What is the number of sides of a regular polygon if one angle measures 140 degrees?

Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.


What is the measure of each angle of a 15 sided polygon?

Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees


One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?

1260


What is the measure of an exterior angle of a regular polygon in which the sum of the interior angle measure is 5400?

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


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

It is a 5 sided regular pentagon and each interior angle measures 108 degrees


What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 120 degrees?

number of sides = 360/exterior angle = 360/120 = 3 polygon is therefore a triangle, interior angles total 180o