MathDB

equal angles wanted, intersecting chords

Source: 2022 VWO Flanders MO p1

November 17, 2022

geometryequal angles

Problem Statement

The points

AB

lie in that order on a circle. The segments

AC

and

BD

intersect at the point

P

. The point

B'

lies on the line

AB

such that

C'

is between

B

and

B'

and

|AB'| = |DP |

. The point

C'

lies on the line

CD

such that

\angle B'PC' = \angle ABD'

is between

C

and

C'

lies and

|DC' | = |AP|

. Prove that

\angle B'PC' = \angle ABD'

.
https://cdn.artofproblemsolving.com/attachments/2/2/7ec65246ff5ecfebc25ca13f3709d1791ceb6c.png =

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