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Question Number 24684 by Tinkutara last updated on 24/Nov/17

Let A B C D be a square and M, N points

on sides A B, B C respectably, such that

∠ M D N = 45 ° . If R is the midpoint of

M N show that R P = R Q where P, Q

are the points of intersection of A C with

the lines M D, N D .