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May 23rd, 2018, 02:14 PM   #1
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what is the value of X

I haven't done basic math, especially geometry for almost 30 years.

My kid dared me to solve this problem.

To be honest, I don't have a clue.

If I break this down to 2 triangles, I can only find an angle of 80 degrees.

But what is the value of X?

It's somewhere in the range of 25 - 50 degrees but I'm just guessing.

I don't want to admit that I forgot basic math because I rag on kids all the time that older generations are smarter.

Thanks in advance.
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May 23rd, 2018, 02:24 PM   #2
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https://revisionmaths.com/gcse-maths...ircle-theorems

Section Angle at the Centre just over halfway down.
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May 23rd, 2018, 02:30 PM   #3
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Quote:
Originally Posted by dumbDad View Post
I don't want to admit that I forgot basic math because I rag on kids all the time that older generations are smarter.
Aren't you supposed to be the mature one
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May 23rd, 2018, 03:53 PM   #4
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AnglesInCircle.PNG
As the angles at O add to 360$^\circ\!$, 360$^\circ\!$ = 100$^\circ\!$ + (180$^\circ\!$ - 2m) + (180$^\circ\!$ - 2n) = 100$^\circ\!$ + 360$^\circ\!$ - 2m - 2n.

Hence $x$ = m + n = (2m + 2n)/2 = 100$^\circ\!$/2 = 50$^\circ\!$.
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