Question

find the sum of angles of a polygon with 52 sides.​

Answer 1

Answer:

your answer

Step-by-step explanation:

The sum of the internal angles of a regular polygon with n sides is (n - 2) x 180 degrees. Therefore, the sum of the internal angles of a 52-sided shape is (52 - 2) x 180 = 9000 degrees.

Answer 2

Given,

Number of sides in a polygon = 52.

To find,

Sum of angles.

Solution,

The relation between the sum of angles of a polygon and the number of sides is given by,

$S=(n-2)\times 180$

Where,

S = sum of all the angles of the polygon, and,

n = number of sides.

So, for this problem, the number of sides is given as 52.

Substituting this value in the above formula, we get,

$S=(52-2)\times 180$

⇒ $S=(50)\times 180$

$S=9000 \textdegree.$

Therefore, the sum of angles of a polygon with 52 sides will be 9000°.