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Answers
Answer:
heptagon is right answer according to me if its wrong dont mind at all
Answer:
As we know that the sum of the interior angles of a polygon = (n – 2)π
And the each angle of polygon = the sum of interior angles of polygon/number of sides
Then, let us calculate the magnitude of
(i) Pentagon
The number of sides in pentagon = 5
The sum of interior angles of pentagon = (5 – 2)π = 3π
∴ Each angle of pentagon = 3π/5 × 180°/π = 108°
(ii) Octagon
The number of sides in octagon = 8
The sum of interior angles of octagon = (8 – 2)π = 6π
∴ Each angle of octagon = 6π/8 × 180°/π = 135°
(iii) Heptagon
The number of sides in heptagon = 7
The sum of interior angles of heptagon = (7 – 2) π = 5π
∴ Each angle of heptagon = 5π/7 × 180°/π = 900°/7 = 128° 34′ 17”
(iv) Duodecagon
The number of sides in duodecagon = 12
The sum of interior angles of duodecagon = (12 – 2)π = 10π
Thus, each angle of duodecagon = 10π/12 × 180°/π = 150°