+0

# I have tried really hard to solve this problem

-3
52
6
+-291

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
+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
+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
+210
+1

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

Impasta  Apr 1, 2020