Question

Find the measure of PSQ in degrees

Answer 1

3x+18+9x - 27 = 99
12x - 9 = 99
12x = 108
x = 9
m<PSQ = 3x + 18
m<PSQ = 3(9) + 18
m<PSQ = 27 + 18
m<PSQ = 45

answer
C. 45

Answer 2

PSQ measures 45°

Explanation:

if PSR measures 99°

we have:

`(3x+18)+(9x-27)=99`

we isolate x

`3x+9x=99-18+27=108`

`12x=108`

`x=9`

an we replace 9 in

`3x+18`

`3(9)+18=45`

PSQ measures 45°