Question

AB=AC & DB=DC,find the ratio of angle ABD : angle ACD

Answer 1

hello mates

answer is

in  ΔABC

AB=AC

∴∠ABC=∠ACB(angles opposite to equal sides of a triangle are equal)......1

in ΔDBC,

DB=DC,

∴∠DBC=∠DCB(angles opposite to equal sides of a triangle are equal)......2

subtract 2 from 1

∠ABC-∠DBC=∠ACB-∠DCB(equals subtracted from equals gives equal)

=∠ABD=∠ACD

divide both the sides by ∠ACD

⇒∠ABD/∠ACD=1

∴∠ABD:∠ACD=1:1

hope it help you....