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Sides AH and BC of regular octagon ABCDEFGH are extended to meet at point P. What is the degree measure of angle P?

 

\(\phantom{AH and CD}\)

 Jul 7, 2022
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Triangle  APB will be isosceles  with angles   A and B  being equal

 

The measure of  either angle =  180  - [ (8 - 2) (180) / 8 ]  =   180 - (3/4)180  =   180  -  135  =  45°

 

So angle P  =  180  - 2(45)  =  90° 

 

 

cool cool cool

 Jul 7, 2022

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