Final answer:
The measure of Angle TSQ is 68 degrees, calculated by successively doubling the measure of Angle VSP due to the given bisections.
Step-by-step explanation:
The student asked for the measure of Angle TSQ given that Ray SQ bisects Angle RST, Ray SP bisects Angle RSQ, and Ray SV bisects Angle RSP, with the measure of Angle VSP being 17 degrees.
Since Ray SV bisects Angle RSP, it divides the angle into two equal parts. Therefore, Angle RSV also measures 17 degrees. Continuing, since Ray SP bisects Angle RSQ, Angle RSP, being the sum of angles RSV and VSP, will be double the measure of Angle VSP, hence 17 degrees * 2 = 34 degrees for Angle RSP. Now, since Ray SQ bisects Angle RST, Angle RSQ would also be twice the size of Angle RSP, which is 34 degrees * 2 = 68 degrees. Consequently, Angle RST, which is composed of Angle RSQ and Angle QST (that are congruent due to bisecting), will be double Angle RSQ, which means Angle RST measures 68 degrees * 2 = 136 degrees.
Therefore, the measure of Angle TSQ is 68 degrees (Option B).