#Need help with Geometry
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Note that opposite angles of a parallelogram are equal, and adjacent ones add up to 180°.
So, you can make a system of equations.
Thank you, I will try that, can I let u know if i still struggle with something
Sure!
I don't think angle ADC can be x, though. I think that's a typo and it's meant to say z.
I have an intuition.
And what is your intuition
I think the major constraint here is how the major diagonal bisects the minor angle.
That is to say, how the diagonal divides Angle A into two equal angles of measure x.
It doesnt make sense to me
Why not?
Actually, there is exactly one case where Angle D can also be x. I still think it's probably a typo, though, as the figure is drawn way off-scale for that case.
I know figures aren't always to scale, but they do usually at least try to make sure that the acute angles are acute.
What doesn't make sense?
Why they made the mistake on such an important paper
What do you mean "such an important paper"?
It is worth a lot for my grade this year
And I would like to achieve a high result
So you are saying that there is a typo?
I think so. And obviously they didn't, y'know, make a mistake on purpose. That would be a paradox.
Technically speaking there's a solution where it's not a typo.
Well, the solution is still possible, just less interesting.
But, again, the figure is incredibly off-scale for that case.
The figure does not need to be on scale
It is only a convenience for it to be on scale
...like I just said, I know that, but they usually make sure the acute angles are acute.
True
And actually now that I think about it the case where it's not a typo is the only case where there's exactly one solution.
But then there's no Z anywhere in the figure at all.
So can you tell me the possible solutions?
How much do you remember about angles and parallel lines?
Not much