Mathematics
Grade9
Easy

Question

The measure of angle P is ___________.

  1. 65°
  2. 56°
  3. 87°
  4. 91°

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 a space p o l y g o n space w i t h space space n space minus s i d e s space space equals space left parenthesis space n space minus space 2 space right parenthesis space cross times space 180 to the power of o
space H e x a g o n space h a s space space 6 space space n u m b e r space o f space s i d e s rightwards double arrow space p u t space space n space equals space 6 space
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 x a g o n space space equals 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
s o space 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 x a g o n space equals space 720 to the power of o space

The correct answer is: 65°


    so option A is the correct answer
    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 i s space 720 degree
space space S o comma space 100 degree space plus space P space plus space 40 degree space plus space 245 degree space plus space 220 degree space plus space 50 degree space equals space 720 degree
P space equals 720 degree space minus left parenthesis 100 degree space plus 40 degree space plus space 245 degree space plus space 220 degree space plus space 50 degree right parenthesis
P space equals space 720 degree space minus space 655 to the power of o
P space equals space 65 to the power of o space a n s w e r

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