Mathematics
Grade9
Easy

Question

The value of x is _______.

  1. 113°
  2. 142°
  3. 136°
  4. 189°

hintHint:

s u m space o f space a l l space i n t e r i o r space a n g l e s space o f space t h e space h e x a g o n equals space left parenthesis n minus 2 right parenthesis cross times 180 to the power of o
h e r e space n equals space 6 comma space b e c a u s e space o f space h e x a g o n space s o comma space left parenthesis 6 minus 2 right parenthesis cross times 180 to the power of o space equals space 6 cross times 180 to the power of o space equals space 720 to the power of o

The correct answer is: 113°


    so option 1:113 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
    s u m space o f space a l l space i n t e r i o r space a n g l e s space o f space t h e space h e x a g o n equals space left parenthesis n minus 2 right parenthesis cross times 180 to the power of o
h e r e space n equals space 6 comma space b e c a u s e space o f space h e x a g o n space s o comma space left parenthesis 6 minus 2 right parenthesis cross times 180 to the power of o space equals space 4 cross times 180 to the power of o space equals space 720 to the power of o
s o space T h e space s u m space o f space a l l space i n t e r i o r space a n g l e s space o f space t h e space h e x a g o n space i s space 720 degree.
space space S o comma space 88 degree space plus space 136 degree space plus space 136 degree space plus space x degree space plus space 105 degree space plus space 142 degree space equals space 720 degree
space space x space equals space 113 degree. space

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