Mark the correct alternative in the following: If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

Question

Philoid · Accepted Answer

Here, angles of triangle are in A.P.

So, Let angles of triangle are a,a+d,a+2d.

We know that, sum of angles of triangle is π.

∴ a+a+d+a+2d=π

∴ 3a+3d=π

∴ 3(a + d) =π

Also, by our assumption, a + d is one angle of triangle.

So, required measure of one of the angles is .