Question

The angles of a pentagon are xo, (x – 10)o, (x + 20)o, (2x – 44)o and (2x – 70)o . Calculate the value of x.
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Answer 1

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A pentagon has 5 sides

.. Sum of interior angles

(n-2) x 180°

= (5-2) x 180°

= 3 x 180°

= 540°

Given, the angles are x°, (x - 10)°, (x +20)°,

(2x - 44)° and (2x - 70)°

x°+ (x - 10)° + (x + 20)° + (2x - 44)° + (2x -

70)° = 540°

7x° 104° 540° =

→ X =(540° +104°) = 92°/ 7

.. The interior angles of the pentagon are 92°, 82°, 112°, 140° and 114°.

Answer 2

Answer:

Length=8 m,Breadth=6 m,Height=3 m

We know,

LSA=2(l+b)×h

LSA=2×14×3=84 m

2

Therefore, cost of painting = 84×60=Rs.5040.

Step-by-step explanation:

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