MathDB

Cyclic pentagon

Source: Latvia BW TST 2021 P9

September 26, 2021

geometrycircumcircleproposedbyQaqash

Problem Statement

Pentagon

F

with

CD\parallel BE

is inscribed in circle

\omega

. Tangent to

\omega

through

B

intersects line

AC

at

F

in a way that

A

lies between

C

and

F

. Lines

BD

and

AE

intersect at

G

. Prove that

FG

is tangent to the circumcircle of

\triangle ADG

.

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