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the sum of the interior angles of a polygon is. ∙ xsum = 180∘(n −2) here n = 11. sum = 180∘ × 9 = 1620∘. each interior angle = 1620∘ 11 ≈ 147.27∘. Answer link.
Explanation: Given: Sum of the interior angles of a polygon is: 720∘. The relationship between the number of sides of a polygon and the sum of interior angles is 180∘ ⋅ (n − 2), where n is the number of sides of the polygon. Hence, we have. 180∘ ⋅ (n −2) = 720∘. Divide both sides of the equation by 180∘. 180∘ ⋅ (n − 2 ...
Answer link. If all interior angles are 162^o, polygon has 20 sides. Questioner has mentioned that a polygon has interior angles of 162^o. It is assumed from this that all interior angles are 162^o. As interior angles are 162^o, each exterior angle is 180^o-162^o=18^o. Sum of all the exterior angles of a polygon is always 360^o and as each ...
Explanation: where n is the number of sides of the polygon. Hence, the polygon has [Math Processing Error] sides. "the polygon has 13 sides" Sum of interior angles S= (n-2)xx180^@, where n is the number of sides of the polygon. Given S=1980^@ => 1980= (n-2)xx180 => n-2=1980/180=11 => n=11+2=13 Hence, the polygon has 13 sides.
180^@ (n-2) To find the sum of the interior angles, substitute 23 into the equation: 180^@ (n-2) =180^@ (23-2) =180^@ (21) =3780^@. :., the sum of the interior angles is 3780^@. Answer link. sum of interior angles=3780^@ The formula for the sum of interior angles in a regular polygon is: 180^@ (n-2) To find the sum of the interior angles ...
To find just one angle, divide 3240˚ by 20 since all 20 angles are congruent. 3240˚ 20 = 162˚. Answer link. 162˚ The sum of the interior angles in a regular polygon with n sides is found through the formula 180˚ (n-2) Here, n=20, so the sum of the interior angles is 180˚ (20-2)=180˚ (18)=3240˚ To find just one angle, divide 3240˚ by 20 ...
In a 15 -sided polygon: Sum interior angles = 180(15 − 2) = 180 × 13 = 2340°. Each interior angle of the regular polygon = 2340° 15 = 156°. Answer link. 156° Number the vertices with consecutive integers 1 through 15. Let the edge (side) of the polygon connecting vertex i and vertex i+1 be called edge i, for all i (1 <= i <=14), and let ...
So you can find the size of the exterior angles of a regular polygon quite easily: If there are 18 sides (n=18), then each exterior angle is: (360°)/n = (360°)/18 = 20°. The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line. :. each interior angle is 180° - 20° = 160°. Answer link.
Explanation: The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides. sum of angles = (n - 2) × 180. sum of angles = (7 - 2) × 180. sum of angles = 5 × 180. sum of angles = 900 degrees. Answer link. iOS.
β = 180° − θ. Another method to find the exterior angle is using the fact that the sum of the exterior angles is always 360°. β = 360° n. Once you know the size of the exterior angle you can find the size of the interior angle by subtracting from 180°. θ = 180° −β. Each interior angle of a regular polygon with n sides: color (red ...