Question 1039012: If one angle of an equiangular triangle is bisected, find all the angles in the two triangles thus formed. Found 2 solutions by josgarithmetic, JulietG:Answer by josgarithmetic(39630) (Show Source):
You can put this solution on YOUR website! In an equiangular triangle, all angles are 60 degrees, like a traffic sign. If you cut it in half down the middle, now you have the same 60 degree angle that was there before plus a right angle at the base of the bisection (like two sailboat sails). 60 + 90 = 150. Since a triangle has 180 degrees, the resulting angle must be 30.
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The bisected triangles each contain a 30, 60, and 90 degree angle.
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