I know that we are not supposed to discuss Brilliant problem answers, but this post is concerning a problem that was posted when Brilliant first started, and it doesn't even have a rating or a discussion, so if you get it wrong (like me) you can't discuss the answer. Anyways, some of you might have seen the article on Business Insider, the one about the 10 "smartest" kids in the world. If you haven't, that 's okay. But one of the problems is super hard. I've been working on it for months, and I even drew a 4x5 foot diagram of it on my wall in my room. Here's the problem:
Triangle ABC has AC = BC, angle ACB is 96 degrees. D is a point in ABC such that angle DAB is 18 degrees, and angle DBA is 30 degrees. What is the measure (in degrees) of angle ACD?
If any of you can post a good solution to this problem, I will respect you forever. I think that the answer is 42, but I could be wrong. I mean, the answer to everything is 42 (reference to HGTG)! Thank you so much!