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

Sum

Fill in the blanks:

In case of regular polygon, with

 Number of sides Each exterior angle Each interior angle (i) 6 _________ __________ (ii) 8 _________ __________ (iii)  ________ 36° __________ (iv)  _______ 20° __________ (v)  _________ _________ 135° (vi) ________ _________ 165°

#### Solution

 Number of sides Each exterior angle Each interior angle (i) 6 60° 120° (ii) 8 45° 135° (iii)  10 36° 144° (iv)  18 20° 160° (v)  8 45° 135° (vi) 24 15° 165°

(i) Each exterior angle = 360^circ/6 = 60^circ

Each interior angle = 180° - 60° = 120°

(ii) Each exterior angle = (360°)/8 = 45°

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

(iii) Since each exterior angles = 36°

∴ Number of sides = (360°)/(36°) = 10

Also, interior angle = 180°- 20° = 160°

(iv) Since each exterior angles = 20°

∴ Number of sides = (360°)/(20°) = 18

Also, interior angle = 180° - 20° = 160°

(v) Since interior angles = 135°

∴ exterior angle = 180° - 135°

∴  Number of sides = (360°)/(45°) = 8

(vi) Since interior angle = 165°

∴ exterior angle = 180° - 165° = 15°

∴ Number of sides = (360°)/(15°) = 24

Concept: Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal
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#### APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 1