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Geometry and Measurement

SAT Geometry Student-Produced Response


If the difference between the measures of two supplementary angles is \(80^\circ,\) what is the measure of the bigger angle? (Disregard the degree symbol when entering your answer.)


In the figure above, \(CA = AF, BD = 15,\) and \(FD = 3.\) What is the value of \(CB?\)


In the diagram above, the pattern is to be repeated until \(15\) squares, each with side \(s,\) fit on \(\overline{AB}.\) The area of all squares is \(M\) and if \(\overline{AB}\) is removed, the length of the remaining curve is \(N.\) If \(s\) is a positive integer, for how many values of \(s\) will \(M < N?\)

The sum of the interior angles of a certain convex polygon is \(19\) times the sum of its exterior angles. How many sides does the polygon have?


The two circles shown above are concentric. If the distance between them is \(x=2\), and the bigger circle has area \(361\pi,\) what is the radius of the smaller circle?


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