Question

The angles of a pentagon are in the ratio 4: 8: 6: 4: 5.
Find each angle of the pentagon.

Answer 1

Let the angles of the pentagon are 4x, 8x, 6x, 4x and 5x.
Thus we can write 
4x + 8x+ 6x + 4x +5x = 540°
                             27x =540°
                                 x = 20°

Hence the angles of the pentagon are:
4 × 20° = 80° ,
8 × 20°= 160° ,
6 × 20°= 120° ,
4 × 20°= 80° ,
5 × 20°= 100°