Question

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

Answer 1

Answer: C 45

Explanation:

Answer 2

`m\angle PSQ=45^o`

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`