Question

In figure , AB II DC, find the value x​

Answer 1

Answer:

x = 6

Step-by-step explanation:

Ok so we know that AB║CD,

thus we also know that AC ∦ to DC and AB

same for DB.

∴  ∠OAB = ∠ODC [ Interior opposite angles ]

   ∠ODC = ∠OBA [ Interior opposite angles ]

   ∠DOC = ∠AOB [ Vertically opposite angles ]

∴  ΔAOB ≅ ΔDOC

∴  DO = OB [ Congruent Pairs of Congruent triangles ]

⇒ 3 = x-3

⇒ x = 3+3

⇒ x = 6