# 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° .

#### 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
Exercise 16.1 | Q 18.3 | Page 17