Using the information given in the figure, the values of x and y are
x=15,y=30∘
In △BAD and △CAD
(i) AD = AD ......(common)
(ii) ∠ADB=∠ADC=90∘ .....(given)
(iii) BD = CD .....(given)
(iv) △BAD≅△CAD..... (SAS postulate)
(v) AB = AC ......(cpct)
3x−17=x+13
2x=30
x=15
(vi) ∠BAD=∠CAD ........(cpct)
(vii) ∠BAD=30∘ (sum of angles of △ADB)
(viii) y∘=∠BAD=30∘
Hence (B)