Question

the angles of the triangle are in A.P and the least angle is 30° . the greatest angle in radian is ​

Answer 1

Let the angles be A,B and C

As they are in A.P

So, 2B=A+C ........ (i)

Sum of angle of triangle

A+B+C=180 degree

From (i), we get

3B=180o degree

⇒B=60o degree

The smallest angle is 30o degree

∴A=30o degree

So, the greatest angle =180 degree−(60+30) degree=90 degree

therefore , the answer is 180/2 = pi/2

or, 90 = pi/2