CBSE Class 8 Answered
The angle of a polygon are right angle and each of other is 150 degree , how many side has the polygon??
Ans - 8
Asked by Mohdayaz9921 | 29 Dec, 2018, 10:30: AM
Expert Answer
For a polygon of n sides, sum of interior angles = (n-2)×180° ......................................(1)
if the given polygon has one angle as 90° and remaining (n-1) angles are 150° ,
the sum of interior angles = 90+(n-1)×150 = (150n-60)°....................(2)
by equating (1) and (2) : (n-2)180 = 150n - 60 or 30n = 300 or n = 10
Hence polygon has 10 sides.
Answered by Thiyagarajan K | 29 Dec, 2018, 11:11: AM
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