In the below fig. rays AB and CD intersect at O.

Question:

In the below fig. rays AB and CD intersect at O.

(I)  Determine y when x = 60

(ii)  Determine x when y = 40

 

Solution:

(i)  Given x = 60

AOC, BOC are linear pair of angles

∠AOC + ∠BOC = 180°

⟹ 2x + y = 180

⟹ 2(60) + y = 180 [since x = 60]

⟹ y = 60

(ii) Given y = 40

AOC and BOC are linear pair of angles

∠AOC + ∠BOC = 180°

⟹ 2x + y = 180

⟹ 2x + 40 = 180

⟹ 2x =180 - 140

⟹ 2x = 140

⟹ x = 70

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