Advertisements
Advertisements
Question
Find the number of sides in a polygon if the sum of its interior angle is: 1620°
Advertisements
Solution
Let no. of sides = n
∴ Sum of angles of polygon = 1620°
∴ (2n - a) × 90° = 1620°
⇒ 2(n - 2) = `(1620°)/(90°)`
⇒ n - 2 = `(1620°)/(2 xx 90°)`
⇒ n - 2 = 9
⇒ n = 9 + 2
⇒ n = 11
RELATED QUESTIONS
Calculate the sum of angle of a polygon with: 12 sides
Calculate the sum of angle of a polygon with: 20 sides
Calculate the sum of angle of a polygon with : 25 sides
Find the number of sides in a polygon if the sum of its interior angle is: 32 right-angles.
Is it possible to have a polygon, whose sum of interior angle is: 870°
Is it possible to have a polygon, whose sum of interior angle is: 2340°
Is it possible to have a polygon, whose sum of interior angle is: 7 right-angles
The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.
Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.
Two angles of a polygon are right angles and the remaining are 120° each. Find the number of sides in it.
In a hexagon ABCDEF, side AB is parallel to side FE and ∠B : ∠C : ∠D : ∠E = 6 : 4 : 2 : 3. Find ∠B and ∠D.
What is the sum of interior angles of a triangle?
A polygon has an interior angle sum of 900°. How many sides does it have?
What is the sum of all interior angles of a hexagon?
