Explanation for Question 17 From the Math (No Calc) Section on the Official Sat Practice Test 7
Question 17 says in the figure above lines, 2 MQ and NR intersect at point P and P equals QP 3 and NP equals PR what is the measure in degrees of angle 4 Q and R? So the first thing that we know here is we can 5 find this angle. Uh, 6 this angle are, we can figure out what this angle degree is. 7 And that's because we know that three angles in a triangle add up to 8 what 80. So that means that we can add 60 to 70, 9 which gives us one 30 and we can subtract that amount from 180 to 10 get 50 degrees, which is the measure of this angle. 11 Next we know that this angle must be 120 degrees, 12 and that's because all lines have a degree measure of 180, 13 which means that we can do 180 minus 60 and that'll 14 give us one 20. 15 And finally, we know that MP is the same length as 16 PR, which means that they're corresponding angles, 17 angle F and angle R are the same degree about, 18 so we can do 180, the degree amount of an entire triangle, 19 minus one 20 to find out that added together. 20 These two angles equal 60 degrees. 21 And since they're the same angle length, we can just divide that by two 22 to figure out that they're both 30 degrees, 23 which means that the answer to this question is 30.