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Question

Florisalreadytaken · Answer

simple

the sum of all angles is $ 360^o  $

just add the 3 known angles, and turn that into an equation where its equal to $ 360^o  $

Florisalreadytaken · Answer

and the 1st one seems to be right ^^

SmokeyBrown · Answer

It seems like the question itself has a typo. The question asks about QRO, but all the answers are related to QPO. I think we can assume the question is supposed to be about QPO, since that's also the unknown angle.

As for the solution, I think Florisalreadytaken has the right idea

SmokeyBrown · Answer

Although, for some reason, the 1st option only includes 3 of the 4 angles: QPO, PQR, and ROP. It does seem like the *most* correct answer out of the visible options...
I don't suppose there are more answer choices that got cut out of the screenshot?

Florisalreadytaken · Answer

@smokeybrown wrote:

Although, for some reason, the 1st option only includes 3 of the 4 angles: QPO, PQR, and ROP. It does seem like the *most* correct answer out of the visible options... I don't suppose there are more answer choices that got cut out of the screenshot?

what?😂 -- its called "a trick question", and we already do have an answer to it -- why would you need more options?

kekeman · Answer

@smokeybrown wrote:

Although, for some reason, the 1st option only includes 3 of the 4 angles: QPO, PQR, and ROP. It does seem like the *most* correct answer out of the visible options... I don't suppose there are more answer choices that got cut out of the screenshot?

There are only 4 options

SmokeyBrown · Answer

In that case, I think C is the correct answer.
In a quadrilateral like the one in the question, opposite angles should add to 180. So, adding QPO with the angle across from it should be equal to 180

kekeman · Answer

Hmmm ok

kekeman · Answer

So what is the correct answer

Florisalreadytaken · Answer

its deff A.

kekeman · Answer

Mmm ok

kekeman · Answer

@snowflake0531 Can you help us find the clear answer

snowflake0531 · Answer

I agree with @smokeybrown

kekeman · Answer

Ok thanks

Florisalreadytaken · Answer

i dont see why? elaborate

SmokeyBrown · Answer

Sure thing. In the figure, angle QPO is opposite of the angle which equals (2x+16)
One of the properties of inscribed quadrilaterals is that opposite angles add up to 180 (I definitely had to look that up!). This means that QPO added to the angle opposite of it should equal 180.
In other words QPO + (2x+16) = 180, which is also what option 3 says

Florisalreadytaken · Answer

maybe, even tho i dont like that idea -- if this problem would be given to me rn, id deff do it the 1st opt's way.

SmokeyBrown · Answer

I'm sorry, but whether or not you like the idea, that is how inscribed quadrilaterals work: https://www.storyofmathematics.com/quadrilateral-inscribed-in-a-circle#:~:text=Properties%20of%20a%20quadrilateral%20inscribed%20in%20a%20circle,two%20pairs%20of%20opposite%20sides.%20More%20items...%20