Question

4. 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

Answer:

x+50+x+x-20=180

Step-by-step explanation:

let angle B be = x

thus, angle A will be = B+50° = x+50

and Angle C will be = B-20° = x-20

Angle Sum Property of triangles.

Angle B + Angle A + Angle C = 180°

x + x+50 + x-20 = 180

3x+50-20 = 180

3x = 180-30

x = 150/3

x = 50

therefore, Angle A = x+50 = 50+50 = 100°

Angle B = x = 50°

Angle C = x-20 = 50-20 = 30°