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A pentagon has four of its angles equal. If the size of the fifth angle...

Mathematics
JAMB 1980

A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.
  • A. 60o
  • B. 108o
  • C. 120o
  • D. 150o
  • E. None of the above
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Correct Answer: Option C
Explanation
The sum of interior angle of pentagon

(5 sides) = (2n - 4) x 90o

n = 5

(2 x 5 - 4) x 90o = 6 x 90o

= 540o

540o - 60o = 480o \(\div\) 4

= 120o

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