The sum of the angle PSR is equal to 99 degrees.
Therefore, we have to:
[tex] (3x + 18) + (9x - 27) = 99
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From here, we clear the value of x:
[tex] 12x = 99 + 27 - 18
12x = 108
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[tex] x = \frac{108}{12}
x = 9
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Then, the value of the PSQ angle is given by:
[tex] PSQ = 3x + 18 = 3 (9) + 18
PSQ = 45
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Answer:
the measure of PSQ in degrees is:
PSQ = 45 °
