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

3^rd 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