SOLUTION: The measure of the vertex angle of an isosceles triangle is three times the measure of the base angle. Find the measure of the vertex angle? Thanks.

SOLUTION: The measure of the vertex angle of an isosceles triangle is three times the measure of the base angle. Find the measure of the vertex angle? Thanks.

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Question 306420: The measure of the vertex angle of an isosceles triangle is three times the measure of the base angle. Find the measure of the vertex angle?
Thanks.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
THE VERTEX ANGLE=3X.
THE 2 BASE ANGLES EACH=X.
3X+X+X=180
5X=180
X=180/5
X=36 FOR THE 2 BASE ANGLES.
3*36=108 FOR THE VERTEX ANGLE.
PROOF:
108+36+36=180
180=180

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