Question

three angles of the triangle are in ap if the smallest angle is 50degree then find the other angles​

Answer 1

smallest angle = 50°

let the difference be d

then other angle are 50°+d and 50°+2d

∵sum of all angles of triangle = 180°

⇒50°+(50°+d) +(50°+2d) = 180°

⇒3d = 180° - 150° = 30°

⇒d = 10°

so others angles are 50°+10° = 60° and 50°+ 20° = 70°

Answer 2

first angle 50

let the second and third and be 50 + x , 50 +2x respectively

150 + 3x = 180

x= 10

the other two angles are 60 and 70

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