Q] The angles of a triangle are in A.P. such that the greatest is five times the least. Find the angles in degrees and radians.

Hi

let the angles be

x-d, x, x+d

x+d=5x-5d             -------1

Also, 4x=6d

=> d=2x/3

Also (x-d) +(x)+(x+d)   ==  180 degrees

or 3x = 180

or x=60 degrees

=> d=40 degrees

=> the angles are x-d, x, x+d

or 20, 60, 100 degrees

For the measure in radians, multiply each angle by pi/180.

Thanks,

Rajat

Askiitians.Expert