Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

What is the sum of the measures of interior angles of a polygon of n sides?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

2 n

right angles

(2 n - 2)

right angles

2 (n - 2)

right angles

2 (n - 4)

right angles

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

It is given a polygon of

n

sides.
If a polygon has

n

sides, then it is divided into

(n - 2)

triangles.
We know that the sum of the angles of triangle =

180 °

.
Therefore, the sum of the angles of

(n - 2)

triangles = 180

\times

(n - 2)

\Rightarrow

\times 90 °

\times

(n - 2)

\Rightarrow 2 (n - 2)

right angles
So, sum of measures of interior angles of a polygon of

n

sides is

2 (n - 2)

right angles.
Hence, the correct option is 3.

JEE

NEET

Foundation JEE

Foundation NEET

CBSE