Question 586569: if the congruent angles of an isosceles triangle each measure 41 degrees what is the measure of the third angle?
Answer by tw23279(14)   (Show Source):
You can put this solution on YOUR website! So since we know that those angles are congruent and congruent angels are equal in measure, we can set up an equation.
Using the theorem "The sum of the interior angles of a triangle is 180 degrees", we can conclude that congruentangle1 + congruentangle2 + someotherangle = 180
Since the two angles are congruent in measure, we can combine like terms, ill name the congruent angles x and the other angle y.
2x + y = 180
By substitution:
2(41) + y = 180
82 + y = 180
y = 98 degrees
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