Advertisements
Advertisements
Question
Is it possible to have a polygon, whose sum of interior angle is: 2340°
Advertisements
Solution
Let no. of sides = n
Sum of angles = 2340°
(n – 2) x 180° = 2340°
n – 2 = `2340/180`
n – 2 = 13
n = 13 + 2 = 15
Which is a whole number.
Hence it is possible to have a polygon, the sum of whose interior angles is 2340°.
APPEARS IN
RELATED QUESTIONS
Find the number of sides in a polygon if the sum of its interior angle is: 900°
Find the number of sides in a polygon if the sum of its interior angle is: 16 right-angles.
Is it possible to have a polygon, whose sum of interior angle is: 7 right-angles
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.
The angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°. Find x.
What is the formula for finding the sum of interior angles of a polygon with n sides?
What is the sum of interior angles of a triangle?
How many triangles are formed when all diagonals are drawn from one vertex of an octagon?
A polygon has an interior angle sum of 900°. How many sides does it have?
