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If the polygon is regular what is the size of its interior angles?
Wiki User
∙ 14y ago
equation for any regular polygon when n = number of sides: 180(n-2)/n
Wiki User
∙ 14y ago
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What is the size of each interior angle of a regular 26 sides polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 166.15 degrees
What is the size of each interior angle of a regular 20 sides polygon?
Sum of the interior angles of a n-gon = (n-2)*180 degrees. So, for a polygon with 20 sides, the sum og the 20 interior angles is (20-2)*180 = 18*180 = 3240 degrees. Since it is a regular polygon, all interior angles are equal, and each one is 3240/20 degrees = 162 degrees.
How do you work out the angles in a polygon?
There is no way to work out the angles in a general polygon. The sum of the interior angles of a polygon, with n sides, is (n-2)*pi radians [or (n-2)*180 degrees]. Therefore, if you know the measure of n-1 angles, you can work out the size of the nth angle.Alternatively, if the polygon is one of the rare type - a regular polygon - then all its angles are equal. In that case, you can divided the above sum by n.
What is the size of each interior angle in a polygon with 35 sides?
Providing that it is a regular 35-agon then its interior angles add up to 5940 degrees and each interior angle is 5940/35 = 169.'714285' degrees recurring decimal '714285'
What is the size of each interior angle of a regular polygon with 28 sides?
The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular 28-agon is 360° ÷ 28 → Each interior angle of a regular 28-agon = 180° - 360° ÷ 28 = 167 1/7° ≈ 167.14°
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.
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
What is the size of each interior angle of a regular 26 sides polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 166.15 degrees
What size are exterior angles on a regular polygon have if each interior angle is 172.5 and how many sides does it have?
Exterior angles are 7.5 There are 48 sides.
What is the size of the individual angles of a regular polygon with 18 sides?
Each individual interior angle will measure 160 degrees
What is the size of each interior angle of a regular 20 sides polygon?
Sum of the interior angles of a n-gon = (n-2)*180 degrees. So, for a polygon with 20 sides, the sum og the 20 interior angles is (20-2)*180 = 18*180 = 3240 degrees. Since it is a regular polygon, all interior angles are equal, and each one is 3240/20 degrees = 162 degrees.
What is the size of an interior angle on a regular heptagon?
The sum of the interior angles of a n-gon is (n-2)*180 degrees. So the sum of the interior angles of a heptagon is (7-2)*180 degrees = 5*180 = 900 degrees.Since it is a regular polygon, each of its interior angles is the same and so each is 900/7 = 128.571428 degrees.
Can you ever have a polygon that is regular and concave?
No. The total of the interior angles of a polygon is given by: total_of_interior_angles = 180° × (number_of_sides -2) A regular polygon has every interior angle the same, and the size of each angle is given by: size_of_interior_angle = total_of_interior_angles / number_of_sides → size_of_interior_angle = 180° × (number_of_sides -2) / number_of_sides But as number_of_sides - 2 is (always) less than number_of_sides, (number_of_sides -2) / number_of_sides is less than 1 and so the size_of_interior_angle is less than 180°. To be a concave polygon, at least one interior angle must be greater than 180°. But as a regular polygon has all interior angles less than 180°, no regular polygon can be concave.
What is the size of the interior angle of a regular pentagon?
108 degrees The sum of all interior angles of a polygon is equal to the following: 180n-360, where n is the number of sides. For n=5, the total of all of the angles is 180*5-360=900-360=540. Since every angle in a regular polygon, each interior angle of a regular pentagon is 540/5=108 degrees.
What is the size of the interior angles in a 13 sided polygon?
152.307692 repeating degrees
What is the size of each interior angle for a 11 sided polygon?
If its a regular polygon then its 147 degrees.
Is it possible for the interior angle of a regular polygon to be 154?
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
