Answer:
Isosceles triangle:
* two sides are equal.
* the base angle are always equal and
* the altitude is a perpendicular distance from the vertex to the base.
Since, the triangle ABC is an isosceles and AC is the base
⇒ AB=BC and
Also, AD is the angle bisector of , which implies that it cuts the angle at A in two equal halves,
let , then the bisectors cuts it in
.
As per the given information, we know is 110°, therefore, the line BDC forms a supplementary angle;
⇒
As shown in picture given below:
By sum of all interior angles in a triangle is 180 degree, thus
or
Simplify:
Therefore, the .
Now, to find the angle B, we have;
[Sum of the measure of the angles in a triangle is 180 degree]
or
or
Simplify:
.
