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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.
How many sides does a polygon have if the sum of the measures of its interior angles is 1080?
the sum of the interior angles of a polygon is 180(n-2), where n is the number of sides.1080 = 180(n-2)6 = n-2n = 8The polygon has 8 sides, it is an octagon.
If the measure of a vertex angle of a regular polygon is 162 degrees how many sides does the polygon have?
All vertex angles (also called "interior angles") of a regular polygon have equal measures. If this regular polygon has n sides, then the sum of all the interior angles is 162° times n. The sum of the measures of all the interior angles of any polygon with n sides is (n-2) times 180°. So we have this equation 162n=(n-2)(180) which has solution n=20. So the polygon has 20 sides. Edwin McCravy
If the sum of the measures of the interior angles of a polygon is 1980 how many sides does it have?
The formula for the sum of the angles of an interior polygon is 180(n-2), where n is the number of sides, so then you solve 180(n-2) = 1980. (n-2) = 11 n = 13. So the polygon has 13 sides.
What is the number of sides of a polygon if the sum of the measures of its angles is 1260 degrees?
Suppose the polygon has n sides. Then (n - 2)*180 = 1260 So (n - 2) = 1260/180 = 7 and therefore, n = 7 + 2 = 9
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 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.
How many sides does a 1260 degree polygon have?
A 1260 degree polygon has nine sides. The formula for determining this is (n*180)+2, with n being equal to the degrees in the interior of the polygon.
How many sides does a polygon have when the sum of the measure of its interior angles is 900?
The formula for the sum of the measures of the interior angles of a regular polygon is (n-2)180. Set this equal to 900 and solve for n to find the number of sides in the polygon. 900 = 180(n-2) 900 = 180n - 360 180n = 1260 n = 1260/180 n = 7
What is the sum of the measures of the angle in a nonagon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 1260 degrees
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
In what type of polygon is the sum of the measures of the interior angles equal to 1260 degrees?
(2n - 4) x 90 = 1260 where n is the number of sides.ie 180n = 1260 + 360n = 1620/180 = 9Your polygon is a nonagon (or enneagon)
The sum s of the measures of angles in a polygon of n sides?
The sum of the internal angles of a polygon of n sides is (n-2)*180 degrees.
What is the sum of the interior angles of an nonagon?
i think is has 27 because n/2 (n-3) n is 9 cause of how many sides has so its 9/2 and (9-3) 9/2 times 6/1 = 27
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
What is The sum of the measures of the interior angles of a polygon with n sides?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
