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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
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