Mathematics
Grade9
Easy

Question

The angle made at each vertex of a football patch is _______.

  1. 180°
  2. 60°
  3. 90°
  4. 108°

hintHint:

w e space k n o w space t h e space f o r m u l a space fraction numerator left parenthesis n minus 2 right parenthesis cross times 180 to the power of o over denominator n end fraction

The correct answer is: 108°


    o p t i o n space 4 colon space 108 to the power of o space i s space t h e space c o r r e c t space a n s w e r
w e space k n o w space t h e space f o r m u l a space fraction numerator left parenthesis n minus 2 right parenthesis cross times 180 to the power of o over denominator n end fraction
T h e space b a s e space o f space e a c h space f o o t b a l l space p a t c h space i s space i n space t h e space s h a p e space o f space a space r e g u l a r space p e n t a g o n.
s o space p u t space n equals space 5
fraction numerator left parenthesis 5 minus 2 right parenthesis cross times 180 to the power of o over denominator 5 end fraction
fraction numerator 3 cross times 180 to the power of o over denominator 5 end fraction space equals space 3 cross times 36 to the power of 0 space equals space 108 to the power of o space a n s w e r
space space space

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