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Verified Answer :

the answear to the equation would be 45 degrees

we know that

Step 1

Find the value of x

m∠PSR=\(99\)°

m∠PSR=\((3x+18)+(9x-27)\)°

so

\(99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees\)

Step 2

Find the value of m∠PSQ

m∠PSQ=\((3x+18)\)

m∠PSQ=\((3*9+18)\)

m∠PSQ=\(45\)°

therefore

the answer is the option

C) 45 degrees