Principle of Mathematical Induction

Question

Answer

Let be the three angles of a triangle in A.P. with d>0

Since the sum of the angles of a triangle is

∴

Now, number of degrees in the least angle = (60 - d)

Number of degrees in the greatest angle = (60 + d)

Number of radians in the greatest angle =

According to the given condition,

4d = 120 d = 30

Hence, the angles of a triangle in degrees are:

or