Answer:
52.5°
Explanation:
Angle bisectors are lines that cut an angle in half, creating 2 congruent angles.
Angle Bisectors
As stated above, an angle bisector is a line that goes through the middle of an angle. The measure of the 2 new angles created will be equivalent to half of the original angle.
Angle bisectors are important in geometry because they can help us while working through proofs. Additionally, knowing that a line is an angle bisector gives us additional information about the angles themselves.
The Measure of New Angles
For this problem, let x stand for the measure of the new angles. We know that x will be equal to half the original and that the original is 105.
This means that x = 52.5 degrees.