We propose that a non-thermal X-ray arc inside the remnant of Tycho ’ s supernova ( SN ) represents the interaction between the SN ejecta and the companion star ’ s envelope lost in the impact of the explosion . The X-ray emission of the remnant further shows an apparent shadow casted by the arc in the opposite direction of the explosion site , consistent with the blocking of the SN ejecta by the envelope . This scenario supports the single degenerate binary origin of Tycho ’ s SN . The properties of the X-ray arc , together with the previous detection of the companion candidate and its space velocity by Ruiz-Lapuente et al . ( 2004 ) and Hernández et al . ( 2009 ) , enables us to further infer 1 ) the progenitor binary has a period of 4.9 ^ { +5.3 } _ { -3.0 } days , 2 ) the companion gained a kick velocity of 42 \pm 30 km s ^ { -1 } , and 3 ) the stripped envelope mass is about 0.0016 ( \leq 0.0083 ) M _ { \sun } . However , we notice that the nature of the companion candidate is still under debate , and the above parameters need to be revised according to the actual properties of the companion candidate . Further work to measure the proper motion of the arc and to check the capability of the interaction to emit the amount of X-rays observed from the arc is also needed to validate the current scenario .