Question

In a triangle ABC, angle A is 25 degree more than angle B and angle C is 10 degree less than angle B. Find the angles.

Answer 1

Let angle B be x.

According to the question -

Angle A = Angle B + 25°

= x + 25°

Angle C = Angle B - 10°

= x - 10°

Angle A + Angle B + Angle C = 180° ( Angle sum property of a triangle)

=> (x + 25°) + (x) + ( x-10°) = 180°

=> 3x + 15° = 180°

=> 3x = 165°

=> x = 165° /3

=> x = 55°

Therefore, angle B = 55°

Angle A = x + 25°

= 55° + 25°

= 80°

Angle C = x - 10°

= 55° - 10°

= 45°

Ans.= Angle A = 80° , Angle B = 55° and Angle C = 45°.

Hope it helps!! ^^