Question

Find the exterior angle of a regular polygon with 10 sides

Answer 1

Number of sides = 10

Each Interior angle = (n-2) ×180 / n

= ( 10-2) × 180 / 10

= 8 × 18

= 144

Each Exterior angle = 180 - 144

= 36°

Answer 2

Your answer ⤵

_______________________________

$Number \:of \:the \:sides = 10 \\ \\ Each\: interior\: angle = ( n - 2 ) ( \frac{180}{n} ) \\ \\ put\: n = 10 \\ \\( 10 - 2 )( \frac{180}{10} )\\ \\ 8 ( 18 ) \\ \\ 144 \\ \\ Exterior \:angle = 180° - 144° \\ \\ 36°$

______________________________