Question

in a pentagon two angles are 40 degree and 60 degree and the rest are in the ratio 1 ratio 3 ratio 7 find the biggest angle of the Pentagon

Answer 1

In a pentagon the sum of all the 5 angles is 540

So 40 + 60 + x + 3x + 7x = 540

100 + 11x = 540

11x = 540 - 100

11x = 440

x = 440 / 11

x = 40

3x = 40 × 3 = 120

7x = 40 × 7 = 280

So 280 degree is the biggest angle of the pentagon.

Hope it helps you :-)