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

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

  • A.
    60o
  • B.
    80o
  • C.
    120o
  • D.
    160o
Correct Answer: Option 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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