Mathematics
Grade9
Easy

Question

The measure of angle P is ___________.

  1. 55°
  2. 116°
  3. 343°
  4. 90°

The correct answer is: 343°


    so option (3) space 343 to the power of o is the correct answer
    H e r e comma space 64 degree space a n d space a n g l e space A space f o r m space a space l i n e a r space p a i r.
s o space A space plus space 64 to the power of o space equals space 180 to the power of o
space space S o comma space a n g l e space A space equals space 180 degree space minus space 64 space equals space 116 degree
space 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 a space h e p t a g o n space i s space 900 degree
space space S o comma space 90 degree space plus space P space plus space 90 degree space plus space 81 degree space plus space 116 degree space plus space 108 degree space plus space 72 degree space equals space 900 degree space space
space P space equals 900 degree minus space left parenthesis space 90 degree space plus space 90 degree space plus space 81 degree space plus space 116 degree space plus space 108 degree space plus space 72 degree right parenthesis
P space equals 900 degree space minus space 557 to the power of o space space
s o space P space equals space 343 to the power of o

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