SOLUTION: <pre> Find m&#8736;PSQ if m&#8736;PSQ = 2y-10 and m&#8736;PRQ = y+35 {{{drawing(300,300,-2,2,-2,2, circle(0,0,1), line(-cos(40*pi/180),sin(40*pi/180),-cos(60*pi/180),-sin(60

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: <pre> Find m&#8736;PSQ if m&#8736;PSQ = 2y-10 and m&#8736;PRQ = y+35 {{{drawing(300,300,-2,2,-2,2, circle(0,0,1), line(-cos(40*pi/180),sin(40*pi/180),-cos(60*pi/180),-sin(60      Log On

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Question 270808: 
Find m∠PSQ if m∠PSQ = 2y-10 and m∠PRQ = y+35


[A] 60         [B] 40         [C] 45           [D] 80             

heres a diagram

http://www2.edmastery.com/files/nnds_prod_data/itemAssets/NN.MAT.301307.2.HO%5Cres00006%5C9292f02e8a984990872f743b2c5edfef%5C17.JPG
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Find m∠PSQ if m∠PSQ = 2y-10 and m∠PRQ = y+35

[A] 60         [B] 40         [C] 45           [D] 80  


They are both inscribed angles which intercept to same arc PQ, so their
measures are equal, so we have the equation:

2y-10=y%2B35
y=%2245%B0%22

Substituting 45° in either 2y-10 or y%2B35 gives

2%28%2245%B0%22%29-%2210%B0%22=%2290%B0%22-%2210%B0%22=%2280%B0%22%29

The correct choice is 80, choice [D]

Edwin