0
How many sides does a polygon have if the sum of its interior angles is 1260?
Wiki User
∙ 11y ago
sum_of_interior_angles = (number_of_sides - 2) x 180o
⇒ number_of_sides = sum_of_interior_angles ÷ 180o + 2
= 1260o ÷ 180o + 2
= 9
A shape with 9 sides is a nonagon.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
Sum of interior angles of a polygon with 9 sides?
All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees
One exterior angle of a regular polygon measures 40 degrees what is the sum of the polygons interior angle measure?
Sum of exterior angles = 360 degrees So there are 360/40 = 9 angles. Exterior angle = 40 deg so interior angle = 180 - 40 = 140 deg Nine angles, 140 deg each = 140*9 = 1260 degrees. Alternatively, once you know it is a nonagon (9-gon), sum of interior angles = (9-2)*180 = 7*180 = 1260 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
What is the LCM of 630 and 84?
1260
The sum of 100 and four times a number?
10(N+14)=9N 10N+140=9N N=-140 I can verbalize this, I hope you can. Check 10(-140+14)=9(-140) 10(-126)=-1260 -1260=-1260
How many sides does a polygon have if the interior angles equal 1260?
Sum of interior angles of a polygon = (2n - 4)right angles 1260 = (2n - 4) x 90 1260 = 180n - 360 900 = 180n n = 5, it is a pentagon
What polygon has the sum of 1260 as interior angles?
A nonagon which has 9 sides
What is the measures of a polygon with n sides is 1260?
The interior angles of a 1260 sided polygon add up to 226,440 degrees and its exterior angles add up to 360 degrees
What is the number of sides of this polygon whose sum of the interior angles is 1260?
1260 degrees is 14 right angles. The interior angles of an n-sided polygon always total 2n - 4 right angles. In this case 2n - 4 = 14 so n = 9, its an enneagon!
What polygon has interior angles adding up to 1260?
It is a nonagon whose 9 interior angles add up to 1260 degees
What is the number of sides of a convex polygon whose sum of the measures of its interior angles is 1260?
The relevant formula for the sum of the interior angles of a convex polygon is (n - 2)(180) degrees, where n is the number of sides. In this instance, 180 n - 360 = 1260, or 180n = 1620, or n = 9.
What regular polygon has the sum of its interior angles add up to 1260?
It is a regular 9 sided polygon whose 9 interior angles add up to 1260 degrees
What polygon has an interior angle of 1260?
A nonagon or a polygon with 9 sides.
What is the angle sum of a polygon with 9 sides?
9099 * * * * * The sum of the interior angles is (9 - 2)*180 = 1260 degrees.
What is the name of polygon that has 40 degrees exterior angle and have an interior angles has 1260 degrees?
It has 9 sides and is called a nonagon
If the sum of the interior angle measures of a polygon is 1260 how many sides does the polygon have?
We solve the equation for n... since the sum of the interior angles is 180(n-2) where n is the number of sides of the polygon. So we have: 180(n-2)=1260 n-2=7 n=9 So 9 sides
What is the sum of angles in a 9-sided polygon?
(n-2)*180 = sum of interior angles of any polygon where n = number of sides. (9-2)*180 = 1260 degrees.
