SOLUTION: Last question. If the vertex angle of an isosceles triangle is 56°, find the measure of each base angle. I'm not good with finding the measurement of angles. It will be a g

Algebra ->  Volume -> SOLUTION: Last question. If the vertex angle of an isosceles triangle is 56°, find the measure of each base angle. I'm not good with finding the measurement of angles. It will be a g      Log On


   

Question 319202: Last question.
If the vertex angle of an isosceles triangle is 56°, find the measure of each base angle.
I'm not good with finding the measurement of angles. It will be a great help if you can help me figure out this problem.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that isosceles triangles have two base angles that are equal to one another. So if 'x' is the base angle, then x%2Bx%2B56=180


x%2Bx%2B56=180 Start with the given equation.


2x%2B56=180 Combine like terms on the left side.


2x=180-56 Subtract 56 from both sides.


2x=124 Combine like terms on the right side.


x=%28124%29%2F%282%29 Divide both sides by 2 to isolate x.


x=62 Reduce.


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Answer:

So the solution is x=62 which means that the two base angles are 62 degrees each.