Answer:
option 1 - Inside the triangle.
Step-by-step explanation:
To find : Where can the bisectors of the angles of an obtuse triangle intersect?
Solution :
Obtuse triangle is the triangle having one angle greater than 90° but smaller than 180°.
Bisector of angle is defined as a line that divides an angle into two equal parts.
Now, Bisector of all angles of any triangle will meet at the center of the in-circle i.e. the circle which touches all three sides .
Which means "The angle bisectors of an obtuse triangle always meet inside of the triangle ".
Therefore, Option 1 is correct.
The angle bisector of an obtuse triangle intersect inside the triangle.
Refer the attached figure below.
