Question 932490
recall properties:

-The interior angles of a triangle always add up to {{{180}}}.°
-Because the interior angles always add to {{{180}}}°, every angle must be less than {{{180}}}°
-The {{{bisectors}}} of the three interior angles meet at a point, called the {{{in-center}}}, which is the center of the {{{in-circle}}} of the triangle. 

by definition an equilateral triangle is a triangle which has all three of its sides {{{equal}}} in {{{length}}}, and all three angles of an equilateral triangle are always {{{60}}}° 

in an equilateral triangle, the median, angle bisector, and altitude are equal also, they intersect at point {{{G}}}, the center of the inscribed and circumscribed circle 

each of the angles are divided by the bisector (a line which cuts an angle into two equal halves ) in two angles of {{{30}}}°

if the intersection of two bisectors is point {{{G}}}, and a triangle {{{ABC}}},
a triangle formed by two bisectors and one side of triangle is {{{AGB}}} and angle {{{AGB}}}

so,the measure of the angle {{{AGB}}} is:

{{{m}}} < {{{AGB=180-(30+30)=180-60=120}}}°