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Karolina [17]
3 years ago
14

Helppppppppppp me pleaseeee

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Answer:

Step-by-step explanation:

8) a) No: of sides of a regular polygon = 360° / exterior angle

                                                                = 360°/18° = 20 sides

b) Sum of interior angles of regular polygon = (n-2) * 180°   {n-no:of sides}

                   = (20-2)*180° = 18*180° = 32400°

9) Let the exterior angle be x.

So, interior angle = 140° + x

Interior angle + exterior angle  = 180°

140° +x + x = 180°

140° +2x = 180°

2x = 180° - 140°

2x =40°

x = 40°/2 = 20°

Exterior angle = 20°

Interior angle  = 160°

No: of sides of a regular polygon = 360° / exterior angle

                                                                = 360°/20° = 18 sides

Hint: Always sum of exterior angles of regular polygon is 360°

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