
03-24-2008, 10:06 PM
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Re: Circle Theorems
Don't know if you got help for this or not, but with the first problem, B appears to be an angle embedded in an equilateral triangle, meaning it's 60 degrees, while A appears to cover a third of the circle, meaning that it is 120 degrees. If you imagine the third leg of the triangle, you can reason that the isosceles sub-triangle formed by the legs of A and the imaginary leg has angles of 30 degrees for each of the far corners, again meaning that A = 120 degrees.
For the second, the shape appears to form two adjacent isosceles triangles; the angle farthest from A is equal to A, and the same applies for B. If you know one of them, you can figure out the other.
The reason I say "appears" is because when sides of a figure are congruent to one another, there is usually a small perpendicular dash through the center of them to denote that (or set of dashes if there exists more than one set of congruent sides, as with a rectangle).
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