Explanation:
<NDC=<NCD (Given)
<NCD=35°.
<CAN=<DBN (Given)
<DBN=50°.
therefore, <CND = 180-35-35=110.
and <CND and <DNB are linear pair.
<CND+<DNB=180°
<DNB=180-110
<DNB=70.
therefore, <BDN = 180-50-70 = 60.
therefore, <BDC= 35°+60°=95°.
hope this helps you.