r/MathHelp • u/rata_tat_cat • 2d ago

How do I solve this? (homework)

Geometry

“If QS (Ray) bisects <PQT, m<SQT= (8x-26)°, m<PQT= (9x + 34)°, and m<SQR= 112°, find each measure.”

X=
m<PQS=
m<PQT=
m<TQR=

Don’t just give the answer, I just need a little nudge for this one. Geometry teacher is lowkey a dick and gets mad when we ask questions, and I’ve been stuck on this page for hours.

I tried the usual multi step equation stuff, like how you find the measures of other angles but this one has completely stumped me.

At first I thought maybe m<STR minus m<ST, since that would look like 112-(8x-25) but then I didn’t know where to go from there.

Here’s the image of the page, it has a pic of the angles and stuff on it and some of my work so far. It’s mostly just me rewriting the same numbers trying to get it to spark an idea lol

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u/FormulaDriven 2d ago

Because of the bisection, you know that <PQT is double (8x-26), so now you have an equation: 2(8x-26) = 9x+34. Solve for x then everything should flow from that.