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TOT 446 1995 Spring A J2 regular 10-gon

Source:

July 9, 2024

geometry

Problem Statement

From a regular

10

-gon

ABCDEFGHIJ

of side length

1

a straight line cuts off a triangle

PAQ

such that

PA +AQ = 1

. Find the sum of angles under which the segment

PQ

is seen from the points

B

,

C

,

D

,

E

,

F

,

G

,

H

,

I

and

J

.
(V Proizvolov)

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