Question

the sum of the internal angles of a polygon is 10 right angles .find the number of sides of the polygon​

Answer 1

Given,

The sum of all interior angles of the polygon = 10 right angles

To find,

The number of sides of the given polygon.

Solution,

We know that,

Right angle = 90°

10 right angles = 10×90° = 900°

Sum of the internal angles of the given polygon = 900°

Now, according to the mathematical formula the sum of the internal angles of a polygon

= (n-2) × 180°

[ Assume,n = number of sides of the polygon]

Now,if we compare the values of the sum of the internal angles of the polygon we will get the following mathematical equation,

(n-2) × 180 = 900

(n-2) = 5

n = 5+2

n = 7

Hence, there are 7 sides of the given polygon.