Answer:
1.
∠DCB is the half of the measure of ∠ACB as the angle bisector DC cut it in two equal parts.
- m∠DCB = 1/2m∠ACB
- m∠DCB = 1/2(101.31°) = 50.655°
2.
The incenter is the intersection of the angle bisectors.
All three angle bisectors lie inside the triangle, hence the incenter is always inside.
