Search SchoolNGR

Friday, 06 March 2026
Register . Login

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

The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A Y = 6 - x
  • B Y = 90 - x
  • C Y = 120 - x
  • D Y = 150 - x
Correct Answer: Option B
Explanation:
Sum of interior angles = (2n - 4) 90\(^o\)
or 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

Share question on: