Find the number of sides in a regular polygon if each interior angle is
i) 135
ii)144°
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Answers
Answered by
1
Answer:
144° is best answer for this question.
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Answered by
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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