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stargil2989

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Oct 9, 2005
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In equilateral triangle ABC, the bisectors of anles A and B intersect at point F. what is angle AFB?
 
All three angles in an equilateral triangle are the same (60 degrees). The problem tells us that the angles A and B are bisected. This means that they are split into two 30 degree angles. The two lines meet in the middle of the triangle at point F.

Now- those two lines make a new triangle (along with side AB of the big triangle). This triangle has two angles of 30 degrees each, and since the sum of the angles in a triangle must be 180, the third angle (AFB) is 120 degrees. (180-30-30)
 
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