Tick (✓) the correct answer:


Tick (✓) the correct answer:

The angles of a pentagon are x°, (x + 20)°, (x + 40)°, (x + 60)° and (x + 80)°. The smallest angle of the pentagon is

(a) 75°

(b) 68°

(c) 78°

(d) 85°


(b) 68°

Sum of all the interior angles of a polygon with $n$ sides $=(n-2) \times 180^{\circ}$

$\therefore(5-2) \times 180^{\circ}=x+x+20+x+40+x+60+x+80$

$\Rightarrow 540=5 x+200$

$\Rightarrow 5 x=340$

$\Rightarrow x=68^{\circ}$

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now