Respuesta :
Answer:
The measure of ∠A'B'C' is 125°
Step-by-step explanation:
The given information are;
The measure of ∠ABC = 125°
The transformation applied to ∠ABC = 75° rotation about point B
The vertices of the image formed after rotation = ∠A'B'C'
Therefore, given that a rotational transformation is a form of rigid transformation, we have that the size and shape of the figure in the preimage = The size and shape of the figure of the image
Therefore, the measure of m∠ABC = The measure of m∠A'B'C'.
The measure of the angle A'B'C' which is created by rotating angle ABC 75° about point B is 125 degrees.
What is rotation of figure?
Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. By rotating, a figure changes the coordinate point of the figure.
The following information regarded to angle ABC are given.
- Angle ABC has a measure of 125°
- Angle ABC is rotated 75° about point B to create angle A'B'C'.
- Angle A'B'C is formed after the rotation.
The rotation of 75 degree is applied on the given angle ABC from the point B. This will change the coordinate points of the point A and point C.
As it is known that the rotation changes the coordinate point and the position of the shape but does not change the shape and size of the original figure.
Hence, the measure of the angle A'B'C' which is created by rotating angle ABC 75° about point B is 125 degrees.
Learn more about the rotation of figure here;
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