Triangle a’ b’ c’ is the image of a b c under a rotation about the origin, (0,0) determine the angle of rotation a. -105 degrees b. -75 degrees c. 75 degrees d. 105 degrees

When a triangle is rotated, it must be rotated through a center.

The angle of rotation of triangle ABC to A'B'C' is 75 degrees

To determine the angle of rotation, we make use of points B and B'

From the given graph, we have the following highlights

The second highlight above implies that, the angle of rotation is less than 90 degrees.

Also, the first highlight above implies that, the angle of rotation is positive

From the options, the positive angle less than 90 degrees is 75 degrees.

Hence, the angle of rotation is 75 degrees

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step-by-step explanation: