Math, asked by MeenakshiIyer, 6 months ago

Find the number of sides in a regular polygon if each interior angle is
i) 135
ii)144°
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for correct answer​

Answers

Answered by samy456
1

Answer:

144° is best answer for this question.

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Answered by jigyasasikarwar
1

Answer:

I. 8

ii. 10

Step-by-step explanation:

1. Sum of the interior angles of a regular polygon of n sides is (n-2)*180

n×135=(n-2)×180

3n = (n-2)×4

3n=4n-8

8= 4n-3n

8=n

number of sides in the regular polygon is 8

2. let n be sides of regular polygon

each interior angles of a regular polygon =[(n-2)×180]

n×144=( n-2)×180

144n= 180n-360

360=180n-144n

360= 36n

n=10

hence, no. of sides in a polygon is 10

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