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) About Me  (Show Source):
You can put this solution on YOUR website!
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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 = 180%2F6 = 30 degrees.

Then A = B = 2.5*30 = 75 degrees.