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

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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°

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1 Answer

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Best answer

(b) 68°

Explanation:

We know that sum of interior angles of a pentagon is

(n – 2) × 180°

Here n=5

(5 – 2) × 180°

=540°

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

5x + 200 = 540

5x = 540-200 = 340

5x = 340

X=340/5= 68°

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