SOLUTION: The questions says the ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex angle. How am I suppose to find th

Algebra ->  Triangles -> SOLUTION: The questions says the ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex angle. How am I suppose to find th      Log On


   

Question 1059245: The questions says the ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex angle. How am I suppose to find the vertex angle.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Ratio; Isosceles; the description should be clear.

VERTEX to BASE,
8:5

How many base-angles? Two, because isosceles triangle will have two angles of equal measure and one angle of different measure.

What else do you know?
Sum of the interior angle measures is 180 degrees.

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Are you still stuck?
If so, maybe you need to say the vertex angle is some product with a factor of some variable, p.
Vertex angle measure is some 8p and you expect ratio of vertex to base is %288p%29%2F%285p%29;
and you also expect 8p%2B5p%2B5p=180.
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You are only about two or three simple steps away from finding measure of the vertex angle.