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Byju's Answer
Standard VIII
Mathematics
Angle Sum Property of a Polygon
The sum of al...
Question
The sum of all the interior angles of a regular octagon is:
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Solution
Sum of interior angles of a polygon with n sides = (n-2)
×
180°
For an octagon, n = 8
Hence the sum of interior angles = (8 - 2)
×
180
∘
= 6
×
180
∘
=
1080
∘
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Q.
Fill in the blanks.
(i) Each interior angle of a regular octagon is (.........)°.
(ii) The sum of all interior angles of a regular hexagon is (.........)°.
(iii) Each exterior angle of a regular polygon is 60°. This polygon is a .........
(iv) Each interior angle of a regular polygon is 108°. This polygon is a .........
(v) A pentagon has ......... diagonals.
Q.
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For a regular polygon of n sides, we have:
(i) Sum of all exterior angles = .........
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