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Omni-MATH / Given a square ABCD whose side length is 1, P and Q are points on the sides AB and AD. If the perimeter of APQ is 2 find the angle PCQ.

Problem

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problem

Given a square ABCDABCD whose side length is 11, PP and QQ are points on the sides ABAB and ADAD. If the perimeter of APQAPQ is 22 find the angle PCQPCQ.
Plain-text mathematical notation (without MathML)
Given a square ABCD whose side length is 1, P and Q are points on the sides AB and AD. If the perimeter of APQ is 2 find the angle PCQ.
Original LaTeX notation
Given a square $ABCD$ whose side length is $1$, $P$ and $Q$ are points on the sides $AB$ and $AD$. If the perimeter of $APQ$ is $2$ find the angle $PCQ$.

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