Advertisements
Advertisements
Question
Is it possible to have a polygon, whose sum of interior angle is: 7 right-angles
Advertisements
Solution
Let no. of sides = n
Sum of angles = 7 right angles = 7 x 90 = 630°
(n – 2) x 180° = 630°
n – 2 = `630/180`
n – 2 = `7/2`
n = `7/2` + 2
n = `11/2`
Which is not a whole number. Hence it is not possible to have a polygon, the sum of whose interior angles is 7 right-angles.
APPEARS IN
RELATED QUESTIONS
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: 16 right-angles.
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: 4500°
The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.
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?
