SOLUTION: each of the two equal angles of an isosceles triangle is two and half times the third angle. find the angles of the triangle.
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Question 1065794: each of the two equal angles of an isosceles triangle is two and half times the third angle. find the angles of the triangle. Answer by ikleyn(52794) (Show Source):
You are given
A = B = 2.5C,
where A and B are two congruent angles at the base and C is the vertex angle.
Then A + B + C = 2.5C + 2.5C + C = 6C = 180 degrees.
Hence, C = = 30 degrees.
Then A = B = 2.5*30 = 75 degrees.