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Find the number of side of a regular polygon, when of its angle has a measure of 175° . - Mathematics

Short Note

Find the number of side of a regular polygon, when of its angle has a measure of 175° .

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Solution

\[ \text{ Each interior angle } = \left( \frac{2n - 4}{n} \times 90 \right)^° \]

\[So, \left( \frac{2n - 4}{n} \times 90 \right)^° = 175° \]

\[ \Rightarrow \frac{2n - 4}{n} = \frac{175° }{90° }\]

\[ \Rightarrow \frac{2n - 4}{n} = \frac{35}{18}\]

\[ \Rightarrow 36n - 72 = 35n\]

\[ \therefore n = 72\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 16 Understanding Shapes-II (Quadrilaterals)
Exercise 16.1 | Q 18.3 | Page 17
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