Mathematics
Grade9
Easy

Question

The measure of angle K is _____.

  1. 81°
  2. 130°
  3. 53°
  4. 106°

The correct answer is: 106°


    option D 106 to the power of o space i s space t h e space c o r r e c t space o p t i o n
    s u m space o f space i n t e r i o r space a n g l e s space equals left parenthesis n minus 2 right parenthesis cross times 180 to the power of o
space H e x a g o n space h a s space 6 space s i d e space n equals 6 space
s o space s u m space o f space i n t e r i o r space a n g l e s space o f space a space h e x a g o n space equals left parenthesis 6 minus 2 right parenthesis cross times 180 to the power of o space space equals 720 to the power of o
    Sum of interior angles of a hexagon is 720°
    So, 112° + 134° + 126° + 148° + 94° + K = 720°
    K = 106°.

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