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Question
In the given figure, AB = DB and AC = DC. Find the values of x and y.
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Solution
In ΔABC and ΔDBC
AB = DB ....[given]
AC = DC ....[given]
BC = BC ....[common]
∴ By Side-Side-Side criterion of congruence,
ΔABC ≅ ΔDBC
∴ ∠ACB =∠DBC ....[c.p.c.t]
⇒ y + 15° = 63°
⇒ y = 63° - 15°
⇒ y = 48°
Now, ∠ABC = ∠DBC ....[c.p.c.t]
⇒ 29° = 2x - 4°
⇒ 2x = 29° + 4°
⇒ 2x = 33°
⇒ x = `(33°)/(2)`
⇒ x = 16.5°
Hence, x = 16.5° and y = 48°.
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