Question

In the given figure, we have $\angle 1=\angle 2,\angle 2=\angle 3$, then

• A. $\angle 1=\angle 3$
• B. $\angle 4=\angle 3$
• C. $\angle 1=\angle 4$
• D. $\angle 2=\angle 4$

Answer 1

The correct option is A $\angle 1=\angle 3$

Since $\angle 1=\angle 2,\angle 2=\angle 3$
$\therefore \angle 1+\angle 2=\angle 2+\angle 3$
$\Rightarrow \angle 1+\angle 2-\angle 2=\angle 2+\angle 3-\angle 2$
$\Rightarrow \angle 1=\angle 3$.