Question

In a triangle ABC, A is 50° more than B and C is 20° less than B. what are the angles of a triangle ?

Answer 1

Refer to the above attachment

Answer 2

Let angle B is x,


According to the question :

=> angle A = 50 + angle B
angle A = 50 + x


=> angle C = angle B - 20
angle C = x - 20




We Know, sum of all angles of a triangle is 180


angle A + angle B + angle C = 180

=> x + 50 + x + x - 20 = 180

=> 3x + 30 = 180

=> 3x = 150

=> x = 50°




Hence, angle B = x = 50°

angle A = 50 + 50 = 100°

angle C = 50 - 20 = 30°