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Question -

In the figure, rays AB and CD intersect at O.
(i) Determine y when x = 60┬░
(ii) Determine x when y = 40┬░



Answer -

In the figure,
AB is a line
тИ┤ 2x + y = 180┬░ (Linear pair)
(i) If x = 60┬░, then
2 x 60┬░ + y = 180┬░
тЗТ 120┬░ +y= 180┬░
тИ┤ y= 180┬░- 120┬░ = 60┬░
(ii) If y = 40┬░, then
2x + 40┬░ = 180┬░
тЗТ 2x = 180┬░ тАУ 40┬░ = 140┬░
тЗТ x==70┬░
тИ┤ x = 70┬░

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