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Question -

In the figure, transversal l, intersects two lines m and n, тИа4 = 110┬░ and тИа7 = 65┬░. Is m || n?



Answer -

A transversal l, intersects two lines m and n, forming тИа1, тИа2, тИа3, тИа4, тИа5, тИа6, тИа7 and тИа8
тИа4 = 110┬░ and тИа7 = 65┬░
To prove : Whether m || n or not
Proof : тИа4 = 110┬░ and тИа7 = 65┬░
тИа7 = тИа5 (Vertically opposite angles)
тИ┤ тИа5 = 65┬░
Now тИа4 + тИа5 = 110┬░ + 65┬░ = 175┬░
тИ╡ Sum of co-interior angles тИа4 and тИа5 is not 180┬░.
тИ┤ m is not parallel to n

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