1. ## Re: is this wrong?

Care or not.You are just a ill-mannered person. I didn't ask your idea but you are coming without invitation and insulting. I don't know who you are and I don't care.

2. ## Re: is this wrong?

Originally Posted by kastamonu
Yes I will check it again. I can make a mistake but you don't have any right to insult. You are talking behind a keyboard. You can use a better language.
What insult? I insulted the diagram, not you!

Another point:
you are expected to show your work when posting a problem:
this is a rule at math help sites.

You showed no work with this problem:
we do not provide full solutions.

3. ## Re: is this wrong?

I will check the question and will send a solution.

4. ## Re: is this wrong?

Originally Posted by kastamonu
I will check the question and will send a solution.
We thank you very much for your anticipated co-operation.

May I suggest that you show the diagram this way:
point A at origin
point B on x-axis
point C on y-axis, such that angle ACB = 50 degrees
now point D (which will be easy)

5. ## Re: is this wrong?

Answer is 25 but there must be another way.

6. ## Re: is this wrong?

Originally Posted by kastamonu
Answer is 25 but there must be another way.
Are you guessing there is another way?

You now state that answer is 25:

7. ## Re: is this wrong?

I will send my work if I can find the answer. There must be a way other than trigonometry. I will try to find it.

8. ## Re: is this wrong?

Originally Posted by kastamonu
There must be a way other than trigonometry.

9. ## Re: is this wrong?

If I find an answer you will see it.

10. ## Re: is this wrong?

BAC is a right angle. Let's draw the circumcircle of triangle ABC; BC is a diameter. Let E be the point
where CD intersects this circle; then angle BEC is also a right angle. BED is a right isosceles triangle, and EB = ED. If
we can show that EA = BE, so that E is the circumcenter of triangle
ABD, we can solve the question easily.

11. ## Re: is this wrong?

Originally Posted by kastamonu
If we can show that EA = BE, so that E is the circumcenter
of triangle ABD, we can solve the question easily.
Impossible: angleBAE = 45, angleABE = 40.

You can't do stuff that changes the "givens".

12. ## Re: is this wrong?

E is not the old E. I made a typo. Take it as F.

13. ## Re: is this wrong?

Do you have any question?

14. ## Re: is this wrong?

IF FA=FB, F will be the circumcircle.In fact a very hard question you have to think about 2 circles.

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