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