MathDB

Two circles,

C

and

K

, are secant at

A

and

B

. Let

P

be a point on the arc

AB

C

. Lines

PA

and

PB

intersect

K

again at

R

and

S

respectively. Let

P'

be another point at same arc as

P

, so that lines

P'A

and

P'B

again intersect

K

R'

and

S'

, respectively. Prove that the arcs

RS

and

R'S'

have equal measures. https://cdn.artofproblemsolving.com/attachments/2/4/88693c36159179fb2b098b671a2f8281b37aae.png

Problem Statement