SOLUTION: Polygon ABCDEFGHABCDEFGH is a regular octagon. Suppose sides AB and CD are extended to meet at a point P. Find m∠BPCm∠BPC. m∠BPC=m∠BPC= (blank) The ext

Algebra ->  Polygons -> SOLUTION: Polygon ABCDEFGHABCDEFGH is a regular octagon. Suppose sides AB and CD are extended to meet at a point P. Find m∠BPCm∠BPC. m∠BPC=m∠BPC= (blank) The ext      Log On


   

Question 1028814: Polygon ABCDEFGHABCDEFGH is a regular octagon. Suppose sides AB and CD are extended to meet at a point P. Find m∠BPCm∠BPC.
m∠BPC=m∠BPC= (blank)
The extended sides form △BCP, where ∠CBP and ∠BCP are exterior angles of the regular octagon ABCDEFGH, each with a measure of (blank). So, the measure of ∠BPC can be found using the Triangle Sum Theorem.
Could you please help me find the blanks please? That would be a great help. Thanks
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
measure of angle BPC = 90 degrees
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every exterior angle of a regular octagon is 360/8 = 45 degrees
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angle CBP and angle BCP each have a measure of 45 degrees
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therefore
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measure of angle BPC = 180 - (45 + 45) = 90 degrees
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