Advertisements
Advertisements
प्रश्न
Is it possible to have a polygon, whose sum of interior angle is: 870°
उत्तर
Let no. of sides = n
Sum of angles = 870°
(n - 2) × 180° = 870°
n - 2 = `870/180`
n - 2 = `29/6`
n = `29/6 + 2`
n = `29/6 + 2/1`
n = `(29 + 12)/6`
n = `41/6`
Which is not a whole number.
Hence it is not possible to have a polygon, the sum of whose interior angles is 870°.
APPEARS IN
संबंधित प्रश्न
Calculate the sum of angle of a polygon with: 10 sides
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: 900°
Is it possible to have a polygon, whose sum of interior angle is: 2340°
Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.
In a hexagon ABCDEF, side AB is parallel to side FE and ∠B : ∠C : ∠D : ∠E = 6 : 4 : 2 : 3. Find ∠B and ∠D.
The angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°. Find x.
In a pentagon, two angles are 40° and 60°, and the rest are in the ratio 1 : 3 : 7. Find the biggest angle of the pentagon.
