Question

How many interior angle bisectors are there in a triangle?

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is C $3$

$\underset{–}{\text{Angle bisector:}}$
In any triangle, a line from a vertex to its opposite side, bisecting the interior angle at that vertex is called the angle bisector.


Here, $AE$, $BF$ and $CD$ are the angle bisectors of angles $\angle BAC$, $\angle ABC$ and $\angle ACB$ respectively.

Hence, we can conclude that there are three interior angle bisectors in any triangle.

So, option (c.) is correct.