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Avijit
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Label the square ABCD clockwise starting at the upper left corner.

Put Y next to the angle of 70 (I will use both X and Y as angles and as points).

BAY=180-90-70=20
DAX=90-20-45=25

Rotate ABY over AY.
Rotate ADX over AX.

ABY and ADX will exactly cover AXY - proof is left to the reader as exercise.

-> X=180-45--70=65

 

Edited by harey
Corrected a germanism.
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