Two angles of a triangle are in the ratio 4: 5. If the sum of these angles is equal to the third angle, find the angles of the triangle.

Let the given two angles of a triangle be 4x and 5x


According to the question


3rd angle = 4x + 5x = 9x


Using angle sum property of a triangle


4x + 5x + 9x = 180°


18x = 180°


x = 10


So, the angles of the given triangle are:


4x = 40, 5x = 50 and 9x = 90


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