Question 586569
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