Question

the angles of a triangle are in ap the smallest angle is 40 degree find the angles of the triangle

Answer 1

let the three angle of triangle

are (a-d), a, (a+d) in AP

according to question

a-d = 40

a = 40 +d

sum of three angles of triangle = 180

(a-d)+ a +(a+d) = 180

40 + 40+d +40+2d = 180

3d = 180-120

3d = 60

d = 20

so angles of Δ are

a-d = 40

a = 40+d = 40+20 = 60

a+d = 40+2d = 40+40 = 80

40 , 60 , 80 answer