ICSE Class 9 Answered
Two regular polygons with number and( n-1) and (n + 2) their external angles differ by 6 find the value of n.
Asked by dp1744825 | 17 Jan, 2024, 08:28: PM
Expert Answer
Measure of each external angle of regular polygon of side n is (1/n)360o .
If external angles of (n-1) side and (n+2) sides differ by 6 then we have
From above expression, we get a quadratic equation as
we get n = 13 as acceptable solution for above quadratic expression.
hence the polygon side n = 13
Answered by Thiyagarajan K | 17 Jan, 2024, 10:12: PM
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