Question

find x and y in this figure​

Answer 1

/_ b=90°/2=45*

/_ c= 45

because bd=y

cd=/_b

side same of same triangle have same angle

/_A=45

because bd = x

Answer 2

Answer:

∠ x = 52° and ∠y = 48°

Step-by-step explanation:

In the figure ∠y = ∠DBC  [as DC = DB ] ___________(i)

∠BDC + ∠BDA = 180°  [linear pair]

   ∠BDC + 96°  = 180°

⇒  ∠BDC = 84° ____________(ii)

In ΔBCD ,

∠y + ∠DBC + ∠BDC = 180°  [angle sum property of Δ]

 ∠y + ∠y + 84° = 180°  [from (i) and (ii)]

⇒ 2∠y = 180° - 84°

⇒    ∠y = $\frac{96}{2}$  ⇒  ∠y = 48°

NOW, ∠DBC + ∠DBA = 90°  [Given 90° ]

             48°  +  ∠DBA  = 42°

Now, In ΔABD,

∠x + ∠ABD + ∠DBA = 180°  [angle sum property of Δ]

∠x + 42° + 96° = 180°

⇒ ∠x = 180° - 138°

⇒ ∠ x = 52°

please mark my answer the brainliest .