In Fig. 8.60, ray AB and CD intersect at O . (i) Determine y when x = 60° (ii) Determine x when y = 40 o

Question

In Fig. 8.60, ray AB and CD intersect at O . (i) Determine y when x = 60&#xB0; (ii) Determine x when y = 40 o

Philoid · Accepted Answer

(i) Given that,

x = 60^o

y =?

∠AOC + ∠DOC = 180^o(Linear pair)

2x + y = 180^o

120^o + y = 180⁰

y = 60^o

(ii) Given that,

y = 40^o

x =?

∠AOC + ∠BOC = 180^o (Linear pair)

2x + y = 180^o

2x = 140^o

x = 70^o