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Angle ABC has a measure of 125° Angle ABC is rotated 75° about point B to create angle A'B'C'. What is the measure, in degrees, of angle A'B'C

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Answer:

m∠A'B'C' is 125°

Explanation:

The given parameters are;

The measure of ∠ABC = 125°

The form of transformation applied to ∠ABC = 75° rotation about the point B

Given that a rotation of a geometric figure is a form of rigid transformation, the distance between the coordinates of the points in the preimage are equal to the distance between the coordinates of the points on the image;

Therefore, the angle formed by the ray AB and CB and the angle formed by the ray A'B' and C'B' are equal

From which we have;

m∠ABC = m∠A'B'C' = 125°

User DurgaPrasad Ganti
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