CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The correct formula(s) to find the measure of interior angle of a nsided regular polygon is/are:

A
(n2)180on
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(n2)360on
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
180oSum of exterior anglesn
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
360oSum of exterio anglesn
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 180oSum of exterior anglesn
We know that sum of interior angles =(n2)×180o
where n is the total number of sides.

The polygon is regular. Hence, all the interior angles are of same measure.

Measure of each angle

=Sum of interior anglesTotal number of sides
=(n2)×180on

Option (a) is correct.

We know that sum of exterior angles of any polygon is 360o.
For regular polygon, the interior angles are same in measure and the exterior angles are also same in measure.

Each exterior angle is 360on

Also, measure of interior angle
=180omeasure of exterior angle
=180o360on

Hence, option (c) is also correct.


flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image