Question

Exterior angle of a pentagon is in ratio 1:2:3:4:5. Calculate interior angles

Answer 1

Let it be x.

We know that sum of all exterior angles = 360

Given, x + 2x + 3x + 4x + 5x = 360

            15x = 360

              x = 24.

The angles will be 24,48,72,96,120.

Interior angles will be (180-24),(180-48),(180-72),(180-96),(180-120)

                                   = 156,132,108,84,60.