The Sum of Interior Angles of a Regular Polygon is Thrice the Sum of Its Exterior Angles. Find the Number of Sides in the Polygon. - Mathematics

Advertisement Remove all ads
Sum

The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.

Advertisement Remove all ads

Solution

Sum of interior angles = 3 x Sum of exterior angles

Let exterior angle = x

The interior angle = 3x

x + 3x=180°

⇒ 4x = 180°

⇒ x = `180/4`

⇒ x = 45°

Number of sides = `360/45 = 8`

Concept: Regular Polynomial
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 20 | Page 185
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×