SOLUTION: Hi, I have a question that I need help learning to solve. I'm hoping someone can help me. I've been struggling for quite a while. Thanks. In an isosceles trinagle, the ratio of

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Question 46761: Hi, I have a question that I need help learning to solve. I'm hoping someone can help me. I've been struggling for quite a while. Thanks.
In an isosceles trinagle, the ratio of the measures of its base angle to its vertex angle is 1:43. What is the measure of each angle in triangle LOK?
Answer by adamchapman(301) (Show Source):
You can put this solution on YOUR website!
Let's call the base angles (which are equal in an isosceles) be called "B".
Let the Vertex angle be called "V".
The sum of all the angles in any triangle is 180 degrees, so:

Also, from the ratio given, we know that the vertex angle is 43 times the base angle:

Now put V=43B into the first equation:

Now multiply 4 by 43 to find V:

So the base angles are both 4 degrees and the vertex angle is 172 degrees.
I hope this helps,
Adam
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