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The sum of the interior angle of pentagon is 6x + 6y. Find y in...

Mathematics
JAMB 2020

The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.

  • A. y = 6 - x
  • B. y = 90 - x
  • C. y = 120 - x
  • D. y = 150 - x
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Correct Answer: Option B
Explanation

Sum of interior angles = (2n - 4) 90\(^o\) 

For perntagon, n = 5 

Sum of interior angles = 6 x 90\(^o\) = 540\(^o\) 

6x + 6y = 540\(^o\) 

6(x + y) = 540\(^o\) 

x + y = \(\frac{540^o}{6}\) = 90\(^o\) 

y = 90\(^o\) 

y = 90 - x

There is an explanation video available below.


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Explanation Video

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