Q121 of 158 Page 159

Each of the two equal angles of an isosceles triangle is four times the third angle. Find the angles of the triangle.

Given: Each of the two equal angles of an isosceles triangle is four


times the third angle


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


Let the 3rd angle be X


The other 2 angle will be


4X


By angle sum property


X + 4X + 4X = 180°


9X = 180°


X = = 20°


The angles of triangle will be 4×20°;4×20°;1×20°


The angles of triangle is 80°;80°;20°


Result:- The angles of triangle is 80°;80°;20°


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