Find the angles

Question

(not to scale)

The triangle ABC is inscribed within a square. If A=72º and B=84º, find the other angles in the figure (round to 2 decimal places if necessary).

Answer 1

Sir,

Is this solution correct?

https://ibb.co/jyBnNZB

 

Edit:

 

https://ibb.co/jgncxfG
https://ibb.co/8D0fVKF

The last line has an error it should be

x = 114*sin72/(sin72+sin84)

And x turns out to be 55.726586093

rest can be easily calculated

Update 04-07-2020

https://ibb.co/TbyRQq8

https://ibb.co/jbBDPj3

Comments

If you think about it, you cannot find the size of the square because, no matter what the size of the square, the angles remain the same. Different size squares would all be similar figures. When I said check the sides of the square, I only meant check that they were the same size as a final check that you had the right solution.

And, yes, apart from a small error in rounding one of the angles, you have the right answer! And the method works. Well done for persisting!

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Thank You Sir.

Can I have some more?

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I’ll let you know if I find another meaty problem. There are certainly some I couldn’t solve myself amongst unanswered questions on this website. But that’s usually because I didn’t know enough about the subject matter to attempt a solution.

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If you couldn't then what chance do I have on solving them.

You are wrong if the question is clear enough then I have seen you learning and answering them even if they weren't related to mathematics at all.

And I could easily search for lot of problems that I could try, but when you give it to me then I get motivated and give all that I have. I know if anyone have a slightest chance to teach mathematics to unintelligent student like me then he is you.

I am and will remain forever grateful to you. I see your efforts in helping others selflessly and it really touched me. If it were in my hands, I would have already given you field prize. Thank You Sir.

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And yes for those who doesn't know, Sir stays awake very late at night only to help help-seekers like us.