Question

find the number of sides of a regular polygon when each of its angles has a measure of (a) 160 (b) 135 (c) 175 (d) 162 (e) 150

Answer 1

Answer:

a) 18

b) 8

c) 72

d) 20

e) 12

Step-by-step explanation:

find the number of sides of a regular polygon when each of its angles has a measure of (a) 160 (b) 135 (c) 175 (d) 162 (e) 150

Formula to calculate number of sides for regular polygon

n * (180 - Angle) = 360

n = number of sides

angle = angle of polygon

a) Angle = 160

=> n * (180 - 160)= 360

=> n * 20 = 360

=> n = 18

18 Sides

b) Angle = 135

n * 45 = 360

=> n = 8

8 Sides

c) Angle = 175

n * 5 = 360

=> n = 72

72 Sides

d) Angle = 162

n * 18 = 360

n = 20

20 sides

e) Angle = 150

n * 30 = 360

=> n = 12

12 Sides

Answer 2

The Formula for this question is n × (180° - x) = 360 ........

In this x is the interior angle given in the question.

Hope it helps you

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