Question

In given figure $\angle ABC=\angle ACB$ and $\angle 3=\angle 4$ then is $\angle 1=\angle 2$ ?

• A. True
• B. False

Answer 1

The correct option is A True

The statement is true.

Proof:

$\angle ABC=\angle ACB$ ................ (1) (given)

$\angle 4=\angle 3$ ................. (2) (given)

Subtract (2) from (1),

$\angle ABC-\angle 4=\angle ACB-\angle 3$

$\Rightarrow \angle 1=\angle 2$