Question

Someone please: If ray PQ bisects angle SPF, and if the measurement of angle SPQ = 3x-2 and the measurement of angle MPF = 2x+9 then find the measurement of angle SPF

Answer 1

do you mean angle QPF=2x+9?
there is no MPF in the problem
and do you want to know how to do it or just the answer?

Answer 2

Yes, sorry, QPF.

Answer 3

Answer or process?

Answer 4

process

Answer 5

ok let me draw a picture...

Answer 6

Are you drawing?

Answer 7

we are told PQ BISECTS angle SPF, which means it divides it into two congruent angles. so the measure of those angles are equal, i.e.
SPQ=QPF
3x-2=2x+9
x=11

SPF=SPQ+QPF=3x-2+2x+9=5x+7

plug in x=11:

SPF=5(11)+7=62

Answer 8

Thank you, thank you.

Answer 9

you're welcome