Question

What is the measure of PSQ in degrees? Angle PSR measures 99°.
A) 9 degrees
B) 24 degrees
C) 45 degrees
D) 54 degrees

Answer 1

the answear to the equation would be 45 degrees

Answer 2

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