Elemetary Math (E-Maths) - Geometry - Find the angles between two adjacent polygons
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Transcript of Elemetary Math (E-Maths) - Geometry - Find the angles between two adjacent polygons
E-Math – Geometry – Find the angles between two adjacent polygons Source: Math Tutor 4b, Casco, 2010, Quick Review 6, q21b
In the diagram, ABCDEFG...is part of a regular polygon with n sides. Each interior angle of this polygon is 150o. BPQRSTUC is a regular octagon. Find
i) the value of n,
Formula: (𝑛−2)×180𝑜
𝑛 Each angle of a Regular
Polygon, where n is the number of sides.
(𝑛−2)×180𝑜
𝑛= 150𝑜
(𝑛 − 2) × 180𝑜 = 150𝑛𝑜
180𝑛𝑜 − 360𝑜 = 150𝑛𝑜
180𝑛𝑜 − 150𝑛𝑜 = 360𝑜
30𝑛𝑜 = 360𝑜
𝑛 =36030
= 12 𝑠𝑖𝑑𝑒𝑠
ii) ∠ABP,
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iii) ∠APB,
iv) ∠BCF,
v)∠CDF