Question

The angle of a pantagon are x , x+20,x+40,x+60,x+80the smallest angle of the pantagon

Answer 1

Hi Mate !!



• By angle sum property of Pentagon according to which the sum of the angles of a Pentagon is 540 we can find the angles !!


adding all the angles !!

x + x + 20 + x + 40 + x + 60 + x + 80 = 540

5x + 200 = 540

5x = 540 - 200

5x = 340

x = 340/5

x = 68


So, x = 68 ... [ smallest angle ]

2nd angle :- x + 20 = 88

3rd angle :- x + 40 = 108

4th angle :- x + 60 = 128

5th angle :- x + 80 = 148 !!


So, smallest angle is 68 !!

Answer 2

Hey Mate!!
~~~~~~~~~
Here is your answer :
____________________________

Given,

Sides of pentagon = x , x +20 , x + 40 , x + 60 , x + 80

Sum of all angles in pentagon = 540

ATP,

x + x + 20 + x + 40 + x +60 + x + 80 = 540

5x + 200 = 540

5x = 500 - 200

5x = 340

x = 340/5

x = 68

Therefore,

Smallest angle = x = 68

HOPE THIS HELPS U...