Which statement accurately describes how to perform a 90° clockwise rotation of point a (1,4) around the origin?

I was expecting a choice that said A(1,4) is in the first quadrant so 90 degrees clockwise is fourth quadrant.  For perpendicularity we reverse the coordinates, negating one of them.  For the fourth quadrant, it must be the y coordinate that's negative.  We end up at A'(4,-1).

The answer is the second choice:  create a circle with the center at the origin.  The image of A' will be on the circle, 90 degrees clockwise from A.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.