Question

1 26. The angle A of a triangle ABC is equal to the sum of the other two angles. Also, the ratio of the
angle B to the angle C is 4:5. Find the measure of each angle.​

Answer 1

Answer:

Step-by-step explanation:

Suppose ∠ B is 4 x , so ∠ C would be 5 x

So ∠ A = 4 x + 5 x

                   = 9 x

In Δ ABC ,

∴ ∠ A + ∠ B + ∠ C = 180°      [ Angle sum property of triangles ]

∴ 9 x + 4 x + 5 x = 180°

∴ 18 x = 180°

∴ x = 10°

So , ∠ A = 9 × 10

              = 90°

       ∠ B = 4 × 10

              = 40°

       ∠ C = 5 × 10

              = 50°