Question

One of the angle of a triangle is 60°. Find the remaining two angles, if their difference is 50°.​

Answer 1

Let the angles of triangle be, 1, 2 , 3 .

1 = 60°

and,

2 - 3 = 50°

2 = 50° + 3 (i)

By ASP of Triangle,

1 + 2 + 3 = 180°

60° + 50° + 3 + 3 = 180°

2(3) = 180° - 110°

3 = 70°/2

3 = 35° 【3 = Angle 3】

Angle 2 = 50° + Angle 3 [ from (i) ]

Angle 2 = 50° + 35°

Angle 2 = 85°