Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
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`
APPEARS IN
संबंधित प्रश्न
Find the number of sides in a regular polygon, if its interior angle is: 160°
Is it possible to have a regular polygon whose interior angle is : 170°
Is it possible to have a regular polygon whose interior angle is:
138°
Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.
The difference between the exterior angles of two regular polygons, having the sides equal to (n – 1) and (n + 1) is 9°. Find the value of n.
Find a number of side in a regular polygon, if it exterior angle is: 30°.
Is it possible to have a regular polygon whose exterior angle is: 36°
What is the measure of each interior angle of a regular hexagon?
If each interior angle of a regular polygon is 144°, what is its corresponding exterior angle?
What is the sum of all exterior angles of any regular polygon?
