Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so

solve for TS

we have


substitute

Step 2
<u>Find the value of SQ</u>
we know that

we have


substitute

therefore
<u>the answer is</u>
the value of SQ is 
Think of it this way: your friend is thinking of a year, and you have to guess which. She has told you the year is in the 20th century (1900s).
There are 100 years in the 20th century (1901-1999 plus 1900).
There can be 100 possibilities
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