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Sides \($\overline{AH}$ and $\overline{CD}\)$ of regular octagon $ABCDEFGH$ are extended to meet at point $P$. What is the degree measure of angle $P$?

\(angles inapolygon\)

 Apr 1, 2020
edited by helpppp  Apr 1, 2020
 #1
avatar+4569 
+2

Hint: Try to use the formula 180*(n-2) / n to find the measure of one angle of the octagon. Then, go from there.

 

It's better to draw the diagram first!

 

-tertre

 Apr 1, 2020
 #3
avatar+210 
+2

Geometry questions are always a nightmare to write answers to, but I'll give it my best shot. If we connect CH, we get a right triangle. The interior angle of a regular octagon is 135 degrees (make sure you see why!). Therefore, with CH being perpendicular to GH, we know that angle AHC= 45 degrees. Therefore, angle P is I believe 45 degrees. 

 Apr 1, 2020
 #4
avatar+210 
+1

A little vague, so ask me if you need clarification.

Impasta  Apr 1, 2020

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