The angles of a polygon are in A.P. with common difference 5°. If the smallest angle is 120°, find the number of sides of the polygon.
AP
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Question

The angles of a polygon are in A.P. with common difference 5°. If the smallest angle is 120°, find the number of sides of the polygon.

KnowledgeBoat · Accepted Answer

Given, angles of polygon are in A.P., a = 120° and d = 5°. Let no. of sides be n and so sum of angles = (2n - 4) × 90° Sum of A.P. of angles = Hence, number of sides = 9 or 16.

Mathematics

The angles of a polygon are in A.P. with common difference 5°. If the smallest angle is 120°, find the number of sides of the polygon.

AP

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Mathematics

The angles of a polygon are in A.P. with common difference 5°. If the smallest angle is 120°, find the number of sides of the polygon.

AP

Related Questions

Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

Insert one arithmetic mean between 3 and 13.

If pth term of an A.P. is q and its qth term is p, show that its (p + q)th term is zero.

If a, b and c are pth, qth and rth terms of an A.P., prove thata(q - r) + b(r − p) + c(p − q) = 0

If p^th term of an A.P. is q and its q^th term is p, show that its (p + q)^th term is zero.

If a, b and c are p^th, q^th and r^th terms of an A.P., prove that
a(q - r) + b(r − p) + c(p − q) = 0