Geometry questions. Find the value of X. Attaching pic

Question

anonymous · Answer

attachment

studygurl14 · Answer

Hold on a sec...

anonymous · Answer

Right

studygurl14 · Answer

Okay, so the exterior angle <STU will be equal to the sum of <RST and <SRT

anonymous · Answer

7x-54+8x=180, then solve for x

anonymous · Answer

Oh

anonymous · Answer

hold on

studygurl14 · Answer

You know that m<STU = 8x, and that m<RST = 7x - 84. You also know that this is an isosceles triangle and  that base angles must be equal.

studygurl14 · Answer

Hm...looks like @pkjag is going at it a different way...he might be right. I'll check...

anonymous · Answer

nah it doesn't give a whole number, x, @studygurl14 you might be right

anonymous · Answer

no nevermind I misread it

studygurl14 · Answer

Yea, I just checked. It didn't work...

studygurl14 · Answer

You know what you can just do instead of setting up an equation, etc...? Just plug in the answer choices and see if they work...

anonymous · Answer

I think if (7x-54)*3=180

anonymous · Answer

haha @StudyGurl14  thats cheating

anonymous · Answer

No that doesn't work

anonymous · Answer

okay yeah I'll try with the answer choices

studygurl14 · Answer

Using answer choice A, which is 14, you can plug into 7x - 54
7(14) - 54 = 44
(180-44)/2 = 68
44 + 68 = 8(14)
112 =112

The answer is A

anonymous · Answer

I was just going to write that I'd figured out it was A :p thanks!

studygurl14 · Answer

You're welcome. :)