Angle Bisectors

What is an angle bisector?

If $$\theta$$ is an angle, what is the measure of each angle formed by its bisector?

In triangle ABC, if $$\text{BD}$$ bisects $$\text{angle ABC}$$ , what can be said about the angles formed?

What is the relationship between the lengths of the segments created by an angle bisector in a triangle?

If $$\text{AB} = 10$$ and $$\text{AC} = 15$$ , and $$\text{BD}$$ bisects $$\text{angle ABC}$$ , what is the ratio of $$\text{AD}$$ to $$\text{DC}$$ ?

How do you find the value of $$x$$ when given an angle bisector problem?

What is the Angle Bisector Theorem?

If $$\text{RQ}$$ bisects $$\text{angle PRS}$$ and $$\text{angle PRQ} = 30^\text{o}$$ , what is $$\text{angle QRS}$$ ?

In a triangle, if $$\text{BD}$$ bisects $$\text{angle ABC}$$ and $$\text{angle ABD} = 40^\text{o}$$ , what is $$\text{angle DBC}$$ ?

What is the formula to calculate the angles when an angle bisector is involved?