SOLUTION: The measure of each of the congruent angles of an isosceles triangle is 9 less than 4 times the vertex angle. Find the measure of each angle of the triangle.

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Question 523959: The measure of each of the congruent angles of an isosceles triangle is 9 less than 4 times the vertex angle. Find the measure of each angle of the triangle.
Answer by lwsshak3(11628) About Me  (Show Source):
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The measure of each of the congruent angles of an isosceles triangle is 9 less than 4 times the vertex angle. Find the measure of each angle of the triangle.
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let x=vertex
4x-9=congruent angle
..
vertex+2*congruent angles=180
x+2(4x-9)=180
x+8x-18=180
9x=198
x=198/9=22º
4x-9=88-9=79º
ans:
vertex=22º
each congruent angle=79º