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

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

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

Answer»

(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°