SOLUTION: Hi, I just wanted to know the answer to this question: The angle at the apex of an isosceles triangle is 54 degrees. What is the size of each base angle? Thanks.

Algebra ->  Triangles -> SOLUTION: Hi, I just wanted to know the answer to this question: The angle at the apex of an isosceles triangle is 54 degrees. What is the size of each base angle? Thanks.      Log On


   

Question 765624: Hi, I just wanted to know the answer to this question:
The angle at the apex of an isosceles triangle is 54 degrees. What is the size of each base angle?
Thanks.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the angles in a triangle is 180 degrees.
there are 3 angle in a triangle, 2 of which are equal to each other if the triangle is isosceles.
the vertex angle (at the apex) is equal to 54 degrees.
there are 2 angles left, both of which are equal to each other.
180 - 54 = 126 / 2 = 63 degrees for each of the base angles.
54 + 63 + 63 = 180.