SOLUTION: The vertex angle of an isosceles triangle is 64 degrees. find the measure of a base angle

Question 118610: The vertex angle of an isosceles triangle is 64 degrees. find the measure of a base angle
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, in any triangle, the sum of all three angles is 180 degrees. Also, if angle x is the vertex angle and angles y and z are the base angles (these angles are equal ie ),

So the sum of the three angles is represented by this equation:

Now plug in

Combine like terms

Since we know that the vertex angle of the isosceles triangle is 64 degrees, this means

Now plug in into the equation

Subtract 64 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate y

Divide

So the base angles are both 58 degrees
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