In Fig., ray AB and CD intersect at O.

(i) Determine y when x = 60°
(ii) Determine x when y = 40o
(i) Given that,
x = 60o
y =?
∠AOC + ∠DOC = 180o(Linear pair)
2x + y = 180o
120o + y = 1800
y = 60o
(ii) Given that,
y = 40o
x =?
∠AOC + ∠BOC = 180o (Linear pair)
2x + y = 180o
2x = 140o
x = 70o
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