Bisector: Finding the size of angles in a triangle

The triangle ABC is shown below.

CD bisects C.

Angle C equals 122 degrees.

Calculate angle $∢\text{ACD}$.

61°

The triangle ABC is shown below.

BD bisects B.

Angle B is a right angle.

Calculate angle $∢\text{ABD}$.

45°

AD bisects A in triangle ABC as shown below.

Angles B and C both equal 50 degrees.

Calculate angle $\sphericalangle\text{CAD.}$

40°

AD bisects of A in the triangle ABC.

Angle B equals 35 degrees, while angle C equals 45 degrees.

Calculate the angle $\sphericalangle\text{BAD.}$

50°