Question

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

Answer 1

Step-by-step explanation:

AOC + BOC = 180 (linear pair)

2x + y = 180

(60×2) + y = 180

y = 180 - 120

= 60

when x = 60

Answer 2

Given : In Fig. 8.60, ray AB and CD intersect at O.

 

To find : (i) Determine y when x = 60°

(ii) Determine x when y = 40°.

 

Solution :  

From figure we have , ∠AOC = 2x , ∠BOC = y

(i)  when x = 60°

∠AOC + ∠BOC = 180°     (Linear pair)

2x + y = 180°

2 (60°) + y = 180°

120°  + y = 180°

y = 180° - 120°

 y = 60°  

Hence y is  60°  .

 

(ii)  when y = 40°

∠AOC + ∠BOC = 180° (Linear pair)

2x + y = 180°

2x + 40° = 180°

2x = 180° - 40°

2x = 140°

x  = 140°/2

x = 70°

Hence , x is  70°  .

HOPE THIS ANSWER WILL HELP YOU…

 

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