Question

What is the measure of PSQ in degrees 9 24 45 54

Answer 1

Answer: C 45

Step-by-step explanation:

Answer 2

Answer:

$m\angle PSQ=45^o$

Step-by-step explanation:

we know that

$m\angle PSR=m\angle PSQ+m\angle QSR$ ---> by addition angle postulate

substitute the given values

$99^o=(3x+18)^o+(9x-27)^o$

solve for x

$99^o=(12x-9)^o$

$12x=99+9$

$12x=108$

$x=9$

Find the measure of angle PSQ

$m\angle PSQ=(3x+18)^o$

substitute the value of x

$m\angle PSQ=(3(9)+18)=45^o$