Math, asked by ctombarelli, 6 months ago

Find the measure of each exterior angle of the regular polygon.

Attachments:

Answers

Answered by Anonymous
20
36 degrees is the answer
Answered by Anonymous
46

\sf{ \purple{Question -} }

Find the measure of each exterior angle of the given request polygon (10-sided).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf{ \purple{Solution -} }

we know that,

\boxed{sum \: of \: exterior  \: \angle=360^{\circ}}

  • No of sides = 10 (i.e it's a Decagon)

\implies Each \:  exterior  \: angle = \\  \\  \implies\frac{360^{\circ}}{10}  \\  \\ \implies36^{\circ}

⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf{ \red{Proof -} }

36°×36°×36°×36°×36°×36°×36°×36°

×36°×36°

36^{\circ} \:  \times (10 \: sides) \\ 360^{\circ}

⠀⠀⠀⠀⠀⠀⠀⠀⠀

Each exterior angle = 36°

Similar questions