The angles of a quadrilateral are in AP, and the greatest angle is double the least. Express the least angle in radians.

Question

Philoid · Accepted Answer

Let the smallest term be x, and the largest term be 2x

Then AP formed= x, ?, ?, 2x

so,

360°= 4/2 [x+ 2x]....[We know that → a+(n-1) d= last term= 2x]

⇒ 180°= 3x

⇒ x= 60°

Now, 60° is least angle.

= 60°= π/180° × 60°

⇒ 60° = π/3 rad