Question

One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4:5, find the angels of the triangle.

Answer 1

Let the two angles of the triangle be 4x and 5x. Then the third angle of the triangle is 4x + 5x = 9x.

Thus, the angles of the triangle are 40º, 50° and 90°.