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# 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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