Home
Class 9
MATHS
The sum of interior angles of a regular ...

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

Text Solution

Verified by Experts

The correct Answer is:
10
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RECTILINEAR FIGURES

    ICSE|Exercise POLYGONS - 4 MARKS QUESTIONS|4 Videos

  • RECTILINEAR FIGURES

    ICSE|Exercise QUADRILATERALS AND ITS PROPERTIES - 3 MARKS QUESTIONS|8 Videos

  • RECTILINEAR FIGURES

    ICSE|Exercise Exercise 14(C )|28 Videos

  • RATIONAL AND IRRATIONAL NUMBERS

    ICSE|Exercise EXERCISE 1 (D)|21 Videos

  • SIMULTANEOUS EQUATIONS

    ICSE|Exercise EXERCISE 6 (G)|13 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • An exterior angle and an interior angle of a regular polygon are in the ratio 2:7. Find the number of sides in the polygon.

    A
    `8`
    B
    `7`
    C
    `10`
    D
    `9`

    • Similar Questions

    Explore conceptually related problems

    The sum of the interior angles of a regular polygon is equal to six times the sum of exterior angles. Find the number of sides of the polygon.

    The exterior angle of a regular polygon is one-third of its interior angle. Find the number of sides in the polygon.

    The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sides of the polygon.

    The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find : (i) measure of each interior angle, (ii) measure of each exterior angle and (iii) number of sides in the polygon

    Each interior angle of a regular polygon is 135^(@) . Find : (i) the measure of each exterior angle (ii) number of sides of the polygon (iii) name of polygon

    In a polygon the number of diagonals 77. Find the number of sides of the polygon.

    The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find : (i) each exterior angle of the polygon. (ii) number of sides in the polygon.

    Home
    Profile