SOLUTION: The third angle in an isosceles triangle is 1/4 as large as each of the two base angles. Find the measure of each angle.

Algebra ->  Triangles -> SOLUTION: The third angle in an isosceles triangle is 1/4 as large as each of the two base angles. Find the measure of each angle.      Log On


   



Question 987936: The third angle in an isosceles triangle is 1/4 as large as each of the two base angles. Find the measure of each angle.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the base angle be x
The three angles are x, x and x/4
You know the total of the angles in a triangle is 180
x%2B+x%2B+x%2F4+=+180
4x%2F4+%2B+4x%2F4+%2B+x%2F4+=+180
9x%2F4+=+180
9x+=+180%2A4
x+=+%28180%2A4%29%2F9
x+=+80
the angles are 80, 80 and 20