A polygon with all angles equal has 20 sides.
(a) What will be the measure of one of its outer angle ?
(b) What will be the measure of one of its inner angle ?
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A polygon with 20 sides is called icosagon. It is indicated as 20-gon. A polygon with equal inner angles is referred to as regular polygon. A regular icosagon is indicated as {20}-gon. The sum of outer angles of a polygon is equal to 360°.
angles of a polygon is equal to 360°.Being a {20}-gon,
angles of a polygon is equal to 360°.Being a {20}-gon,Each outer angle = 360°/20 = 18°
angle = 360°/20 = 18°Each inner angle = 180° – 18° = 162°; inner and outer angles being supplementary.
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