Radian Angle and PYQs

One of the angles of a triangle is 1//2 radian and the other is 99^(@) . What is the third angle in radian measure ?

Theorem 1: Radian is a constant angle

The unit of plane angle is radian , hence its dimension are

The angles in a triangle are in A.P. and the ratio of the smallest angle in degrees to the greatest angle in radians is 60:pi Find the angle of the triangle in degrees and radians.

The angles of a triangle are in AP and the ratio of the number of degrees in the least to the number of radians in the greatest is 60:pi . Find the angles in degree and radians.

The angles of a triangle are in AP and the least angle is 30^(@) . What is the greatest angle (in radian)?