The measure of the angles of atriangle are in A.P and the greatest is 5 times the smallest (least). Find the angles in radian and degree.
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Step-by-step explanation:
let the angles of triangle be a-d,a,a+d..
a-d+a+a+d=180 (since sum of all angles is 180 degrees)
3a=180
a= 60
according to the given condition,
a+d=5(a-d)
a+d=5a-5d
4a=6d
d=4a/6
= 4×60/6
= 40 degrees
a-d= 20, pie/9
a= 60, pie/3
a+d= 100, 5pie/9
radian = pie/180×degree measure
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