Question

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

Answer 1

Answer:

Let the common multiple be x.

Therefore 4x + 5x + (4x + 5x) = 180°

9x + 9x = 180°

18x = 180°

x = 10

Therefore angles are

4x = 4×10 = 40°

5x = 5×10 = 50°

4x + 5x = 40° + 50° = 90°