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.

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(52797) (Show Source): You can put this solution on YOUR website!
.

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.

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