Question

in figure,if angle ABC = angle ACB, angle 3= 4, show that angle 1 =angle 2

Answer 1

by angle sum property angle 1=angle 2

Answer 2

Step-by-step explanation:

We have,

→ ∠ABC = ∠ACB -----(1) [Given]

and ∠4 = ∠3 ------(2) [Given]

Subtracting Eqⁿ 1 and Eqⁿ 2 , we get

∠ABC - ∠4 = ∠ACB - ∠3

Now, by Euclid's axiom 3, if equal are subtracted from equals, the remainders are equal.

Hence, ∠1 = ∠2.