Find the number of sides of a regular polygon whose each exterior angle is ^@ 40 ^ \circ. ^@


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Answer:

^@ 9 ^@

Step by Step Explanation:
  1. We know that the sum of all exterior angles of a regular polygon is ^@ 360 ^ \circ.^@
  2. It is given that each exterior angle is ^@ 40 ^ \circ. ^@
  3. Thus, the number of sides in the given polygon ^@ = \dfrac { \text{ Sum of measure of all exterior angles} } { \text{ Each exterior angle} }= \dfrac { 360 }{ 40 } = 9. ^@

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