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

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°____

#### 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