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In the diagram, find the size of the angle marked a°

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Mathematics WAEC 2008

In the diagram, find the size of the angle marked a°

  • 60o
  • 80o checkmark
  • 120o
  • 160o

The correct answer is: B

Explanation

2 x s = 280°(Angle at centre = 2 x < at circum)

S = \(\frac{280^o}{2}\)

= 140°

< O = 360 - 280 = 80°

60 + 80 + 140 + a = 360°

(< in a quad); 280 + a = 360

a = 360 - 280

a = 80°

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