MathDB

Find the angle!

Source:

February 9, 2017

geometryanglecircles

Problem Statement

Six points

A, B, C, D, E, F

are chosen on a circle anticlockwise. None of

AB, CD, EF

is a diameter. Extended

AB

and

DC

meet at

Z, CD

and

FE

at

X, EF

and

BA

at

Y. AC

and

BF

meets at

P, CE

and

BD

at

Q

and

AE

and

DF

at

R.

If

O

is the point of intersection of

YQ

and

ZR,

find the

\angle XOP.

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