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How many sides does a regular polygon have if the measure of one interior angles is 144?
Wiki User
∙ 11y ago
interior angle = (sides - 2) * 180 / sides
sides * interior angle = 180 * sides - 360
sides * (interior angle - 180) = -360
sides = -360 / (interior angle - 180)
sides = 360 / (180 - interior angle)
So, for 144 degrees:
sides = 360 / 36 = 10
Wiki User
∙ 13y ago
Wiki User
∙ 11y agoThis is easiest to work out using the exterior angle.
The sum of the exterior angles of a polygon is 360o
Interior_angle + exterior_angle = 180o
⇒ exterior_angle = 180o - interior_angle
= 180o - 144o
= 36o
In a regular polygon, all angles are the same thus:
exterior_angle x number_sides = 360o
⇒ number_of_sides = 360o ÷ exterior_angle
= 360o ÷ 36o
= 10 sides
The shape is a decagon.
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Is Each of the interior angles in a polygon are equal in measure.?
Only when it is a regular polygon that all interior angles are of equal measure
Are interior angles in a polygon equal in measure?
Only if the polygon is "regular".
Is It is possible for the interior angles of a regular polygon to measure 145 degrees?
No.
Are the interior angles in a polygon equal in measure?
Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.
What measure of the interior angles of a polygon is 720 degrees?
If it's a regular polygon then each interior angle measures 120 degrees.
Is Each of the interior angles in a polygon are equal in measure.?
Only when it is a regular polygon that all interior angles are of equal measure
Are interior angles in a polygon equal in measure?
Only if the polygon is "regular".
Which regular polygon has interior angles that measure about 152.3 degrees each?
A 13 sided regular polygon
Are all the interior angles in a polygon equal in measure?
Only if the polygon is a "regular" one.
If the measure of one interior angle of a regular polygon is 108 how many sides does the regular polygon have?
A pentagon (five sided regular polygon) has interior angles of 108°.
Is It is possible for the interior angles of a regular polygon to measure 145 degrees?
No.
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
If a regular polygon has interior angles that measure 720 degrees how many sides does the polygon have?
6
Are the interior angles in a polygon equal in measure?
Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.
If the polygon is regular what is the size of each interior angle?
this depends on what type of polygon it is.. if it is a regular triangle, then all interior angles measure up to 180 degrees. So, a triangles interior angles would measure 60 degrees each.
How is a regular polygon?
This is a tautological question that does not have a proper answer. A regular polygon is one which has all its sides of equal length and all its interior angles of equal measure.
Is it possible for the interior angles of a regular polygon to each measure 166?
No, it's not.
