SOLUTION: One of the base angles of an isosceles triangle is 2 degrees more than 5 times the vertex angle.find the angles

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Question 817430: One of the base angles of an isosceles triangle is 2 degrees more than 5 times the vertex angle.find the angles
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

One of the base angles of an isosceles triangle is 2 degrees more than 5 times the vertex angle green%28x%29

find the angles; base angle %285%28green%28x%29%29%2B2%29



Isosceles Triangle, Base angles are equal

 (5x+2) + (5x+2) + x = 180°    |Note:  Sum of the angles in a Triangle = 180° 

       11x = 176

         x = 16°  and the Base Angles are 82°    %285%2A16+%2B+2%29

CHECKING our answer***

 16° + 82° + 82° = 180°