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In order to answer the question, you would have to know the measure of angles PRS and PQR
(1) Measure of Angle QPR - gives us some insight into what angles PRS and PQR may be, as they are in a triangle, but not enough to answer the question. (insufficient)
(2) Measure of Angles PRQ and PQR together - gives us nothing, we already know this information with (1). (insufficient)
What we really need to know in order to answer this question is the measure of angle PRS or PRQ alone, because 180-PRQ = PRS and vice versa. Or if we had some other information, such as PQR alone, or QPS, since we could get PQR from that. but nothing gives us what we need to know so it is E.
This is a great answer. Most of us (including me) try to figure out what value PRS and PQR actually have in order to find the difference, but that's not always required. Once we get an equation that tells us the answer it doesn't matter if that answer actually has values filled in because the values do not matter, the answer is 30, and that means the data provided is sufficient.
yes I never thought to just put them all into formulas, was thinking graphically I suppose. Very tricky question, you dont have to know the measure of either angle, just how much larger it is than the other. Good job traveler.