- 24
- 30
- 32
- 36

Option 2 : 30

Given:

Interior angle of polygon = 168°

Concept used:

Interior angle of a polygon = 180° × (n - 2)/n

Where,

n = Number of sides

Calculations:

Let the number of sides be n

⇒ 180° × (n - 2)/n = 168°

⇒ (n - 2)/n = 168°/180°

⇒ (n - 2)/n = 14/15

⇒ 15n - 30 = 14n

⇒ n = 30

∴ The polygon has 30 sides

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,16,32,430+ Students

Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)