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## Answers

(n-2)180 where n is the number of sides

=540 degree

Hence

Sum of x,x+20,x+40,x+60,x+80=540

So

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

5x+200=540

5x=340

x=68 degree

Hence the smallest angle of the pentagon is 68 degree

The angles are given : x , (x+20) , (x + 40) , (x + 60) , (x + 80)

we know that the sum of angles of a pentagon = 540°

∴x+x+20+x+40+x+60+x+80 = 540°

⇒5x + 200 = 540

⇒5x = 540 - 200

⇒5x = 340

⇒x = 340/5

∴x = 68

∴the smallest angle (x) = 68°