Question

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

(i) Determine y when x = 60°

(ii) Determine x when y = 40°

Answer 1

(i) Given that,

x = 60°

y =?

∠AOC + ∠DOC = 180°(Linear pair)

2x + y = 180°

120° + y = 180°

y = 60°

(ii) Given that,

y = 40°

x =?

∠AOC + ∠BOC = 180°(Linear pair)

2x + y = 180°

2x = 140°

x = 70°