Question

In the given figure,we have ∠ABC =∠ACB and ∠3=∠4.Show that ∠1 = ∠2​

Answer 1

Step-by-step explanation:

Given: ABC and BCD are two triangles on the same base BC in which ∠ABC =∠ACB and ∠3=∠4

T.P: ∠1 = ∠2

Proof: In triangle ABC,

∠ABC = ∠ACB(given) ----------------(1)

In triangle BCD,

∠3 = ∠4(given)

∠4 = ∠3 -----------------(2)

subtract equation(2) from equation(1)

∠ABC–∠4 = ∠ACB–∠3

∠DBC = ∠DCB

∠1 = ∠2

hence prove