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Question

Find the number of sides in a regular polygon, if its each interior angle is 135.

A
2
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B
9
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C
8
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D
6
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Solution

The correct option is C 8
Each interior angle of regular polygon of n sides is given by 180(n2)no
According to question, 180(n2)no=1350
180(n2)=135n
180n360=135n
45n=360
n=8
Number of sides =8

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