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Assuming that you mean the inside angle is 108 the answer is a pentagon.
Each angle inside the polygon forms an acute angle on the outside with the next side. The measurement of the exterior acute angle is:
180 - 108 = 72 .
Since all the acute angle around the outside must add up to 360 we find:
360 / 72 = 5
There are five acute angles and therefore five sides to the polygon.
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The measure of each of the interior angles of a convex polygon must be less than blank degrees?
180
What is the measure of each exterior angle of an 8 sided regular polygon?
The sum of the exterior angles of any polygon must be 360 degrees.360/8 = 45 degrees
What is the measure of the exterior angles of a pentagon?
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
When you name a polygon does the length of the sides matter?
No. Except that in a REGULAR polygon, all the sides must be of the same length and all the angles of the same measure.
Is it possible for the interior angles of a regular polygon to measure 8 degrees?
No. If the interior angle is 8 degrees then each exterior angle must be 172 degrees. Therefore the polygon must have 360/172 approx 2.1 sides. A fractional side is not possible.
The measure of each of the interior angles of a convex polygon must be less than blank degrees?
180
A certain regular polygon has exterior angles which each measure 20 degrees how many sides does this polygon have?
It has 18 sides (an octadecagon) because the number of identical angles on the polygon must always equal 360 degrees.
What is the measure of each exterior angle of an 8 sided regular polygon?
The sum of the exterior angles of any polygon must be 360 degrees.360/8 = 45 degrees
Interior angle of a polygon has a measure of 140?
It could be an obtuse triangle. If it were a regular polygon then each of its external angles would be 180 -140 = 40 degrees. The sum of the external angles of any polygon is 360 degrees. So if each is 40 degrees, there must be 360/40 = 9 of them. So the polygon is a nonagon, BUT ONLY IF IT IS A REGULAR POLYGON.
Explain how to decide if a polygon is regular or not?
A polygon is regular if:* All sides are congruent * All angles are congruent
What is the measure of the exterior angles of a pentagon?
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
When you name a polygon does the length of the sides matter?
No. Except that in a REGULAR polygon, all the sides must be of the same length and all the angles of the same measure.
Is it possible for the interior angles of a regular polygon to measure 8 degrees?
No. If the interior angle is 8 degrees then each exterior angle must be 172 degrees. Therefore the polygon must have 360/172 approx 2.1 sides. A fractional side is not possible.
Each exterior angle of a regular polygon measures 20 degrees how many sides does the polygon have?
The sum of the exterior angles of any polygon is 360 degrees. If each angle is 20 degrees, there must be 360/20 = 18 such angles. 18 angles means 18 sides so it is an 18-sided polygon.
How many sides does a regular polygon have if the measure of each exterior angle is equal to 15?
Sum of exterior angles = 360 degrees. If each one is 15 degrees then there must be 360/15 = 24 of them.
If each side of a regular polygon has a measure of 156 then the polygon must have how many sides?
If each interior angle measures 156 degrees then it must have 15 sides
What are the properties of a regular polygon?
A regular polygon has several properties: All sides are equal in length. All angles are equal in measure. The sum of the interior angles is (n-2)180 degrees, where n is the number of sides. The sum of the exterior angles is 360 degrees. The diagonals, which are line segments connecting non-adjacent vertices, are congruent in length. The polygon has rotational symmetry, which means it can be rotated by a certain angle around its center to coincide with its original position.
