Question

If tan inverse 2,tan inverse 3 are two angles of a triangle then 3rd angle is

Answer 1

Answer:

3rd angle of the triangle = 45°

Step-by-step explanation:

Angle a = Tan inverse 2

∴∠a = 63.435°

angle b = Tan inverse 3

∴ ∠b = 71.565°

In a triangle, sum of all three angles = 180°

∴ ∠a + ∠b + ∠c = 180°

∴ 63.435 + 71.565 + ∠c = 180

∴ ∠c = 180 - 135

∴ ∠c = 45°

∴ 3rd angle of th triangle = 45°