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Question -

In the figure, lines l1 and l2 intersect at O, forming angles as shown in the figure. If x = 45, find the values of y, z and n.



Answer -

Two lines l1 and l2 intersect each other at O тИаx = 45┬░
тИ╡ тИаz = тИаx (Vertically opposite angles)
= 45┬░
But x + y = 180┬░ (Linear pair)
тЗТ45┬░ + y= 180┬░
тЗТ y= 180┬░-45┬░= 135┬░
But u = y (Vertically opposite angles)
тИ┤ u = 135┬░
Hence y = 135┬░, z = 45┬░ and u = 135┬░

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