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