Respuesta :

Answer:

52.5°

Step-by-step 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.

  • So, x = 105 / 2

This means that x = 52.5 degrees.

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