Finding a part of an angle with two triangles

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The discussion focuses on understanding the relationship between two triangles, particularly when they share a side and form a quadrilateral. Participants emphasize the importance of clarity in the question, suggesting that a diagram would help illustrate the problem. There is confusion about how to find a missing angle when the triangles are not part of a parallelogram. Algebra is mentioned as a potential method for solving the missing angle, but the need for more precise information is highlighted. Overall, clarity and visual representation are deemed essential for resolving the inquiry.
Tyrion101
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I've never really understood this bit of trig, I think I get it if there are two parallel angles (parallelogram). But, I do not understand how you go about when the triangles aren't in a parallelogram.
 
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I have no idea what you are talking about! How are these two triangles related? Do you mean two triangles with one side in common, so that they form a quadrilateral with that side as diagonal?
 
I agree w/ Halls. Your question is so vague as to be meaningless. Best would be to draw a diagram of the kind of situation that you are trying to understand.
 
Well I'm thinking of two related triangles that share a side. You know part of an angle, and maybe one other angle. Could I just use algebra to solve the missing angle bit?
 
Tyrion101 said:
Well I'm thinking of two related triangles that share a side. You know part of an angle, and maybe one other angle. Could I just use algebra to solve the missing angle bit?
You need to be more precise.
 
Do you find it impossible to draw a diagram? As mathman said, you are STILL not telling us what it is you want to know.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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