How do you determine an angle’s measurement in degrees?

Simply by using a protractor.

Step-by-step explanation:

Place the center of the protractor on the origin of the angle. The distance between the two lines is the angle in degrees. Read it on the protractor. You can also do basic arithmetics if other angles are given. For instance 180 degrees- 30 degrees = 150 degrees.

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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.