Advertisement Remove all ads

Fill in the Blanks : in Case of Regular Polygon, with : - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Fill in the blanks :
In case of regular polygon, with :

No.of.sides Each exterior angle Each interior angle
(i) ___8___ _______ ______
(ii) ___12____ _______ ______
(iii) _________ _____72°_____ ______
(iv)  _________ _____45°_____ ______
(v)  _________ __________ _____150°_____
(vi) ________ __________ ______140°____
Advertisement Remove all ads

Solution

No.of. sides Each exterior angle Each interior angle
(i) 8  45° 135°
(ii) 12 30° 150°
(iii) 5  72° 108°
(iv) 8  45° 135°
(v) 12 30° 150°
(vi) 9 40° 140°

Explanation:

(i) Each exterior angle = `360^circ/8 = 45^circ`

Each interior angle = 180° - 45° = 135°


(ii)  Each exterior angle = `360^circ/12 = 30^circ`

Each interior angle = 180° - 30° = 150°


(iii) Since each exterior = 72°

∴ Number of sides = `360^circ/72^circ = 5`

Also interior angle = 180° - 72° = 108°


(iv) Since each exterior = 45°

∴ Number of sides = `360^circ/45^circ = 8`

Also interior angle = 180° - 45° = 135°


(v) Since interior angle = 150°

Exterior angle = 180° - 150° = 30°

∴ Number of sides = `360^circ/30^circ = 12`


(vi) Since interior angle = 140°

Exterior angle = 180° - 140° = 40°

∴ Number of sides = `360^circ/40^circ = 9`

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 1 | Page 184
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×