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Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
What is the measure of each angle of a regular polygon with 7 sides?
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
How do you find the measure of one interior angle?
Use a protractor
How do you find the number of sides a regular poly gon has by knowing the angles?
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
How do you find the interior angle of a regular poloygon?
360 /each exterior angle
B Find the measure of each interior angle of a regular 20-gon?
Each interior angle measures 162 degrees.
Find the measure of each interior angle of a regular heptagon?
128.571428 repeating
Find the measure of each interior angle of a regular 45-gon?
8100
What is the formula to find the measure of each interior angle of a regular polygon?
that's geometry so the formula to find the measure of each interior angle of a regular polygon is: Ia=stands for internal angle Ia=(n-2)180 ---------- n that's the formula.
What is the formula to find the interior angle for a regular polygon?
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
How do you find the measure of each exterior angle of a regular pentagon?
It is: 360/5 = 72 degrees for each exterior angle and each interior angle will be 108 degrees
The number of sides of a regular polygon is 7. Find the measure of each interior angle of the polygon?
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
How do you find the measure of each interior angle of a ngon?
If you mean a regular 9 sided nonagon Total interior angles are (9-2)*180 = 1260 degrees Each interior angle is 1260/9 = 140 degrees
Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
What is the measure of each angle of a regular polygon with 7 sides?
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?
40 sides
What is the measure of each interior angle of a regular nonagon?
A regular nonagon is a shape with 9 equal sides, right? Well, with the equation (n-2)180, where n is the number of sides, you can find the sum of the interior angles. Then you divide that number by n to get the measure of each interior angle. You do the rest. If your in A+:140'
