Question

A D Given BC=CD, L BAC = LDEC AB=25cm, DE= (2y+5) cm С BC= (3x – 7 ) cm CD = 32 cm , find x and y ​

Answer 1

Answer:

Consider △ADB and △EDF,

∠ADB=∠EDF              [ Vertical angles ]

∠ABD=∠FED              [ Alternate angles ]

∠BAD=∠EFD             [ Alternate angles ]

∴  △ADB∼△EDF       [ By ASA criterion ]

⇒  DEBD=FEAB

⇒ y4=106

⇒ 6y=40

⇒ y=640=320

⇒ y=6.67cm

Similarly, △ADE∼△CDE        [ AA criterion ]

⇒ BEDE=BADC

⇒ 10.676.67=6x

⇒ x=6×10.676.67

⇒ x=3.75cm

∴  The values of 

Step-by-step explanation:

Hope it helps