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 rotation from ABC to A'B'C' is in a clockwise direction
- Point B is on the x-axis, while point B' is in the second quadrant
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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