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Question -

In figure, showthat AB || EF.



Answer -

Produce EF to intersect AC at point N.

From figure, BAC =57° and

ACD =22°+35° = 57°

Alternative angles of parallel lines are equal

=> BA || EF …..(1)

Sum of Co-interior angles of parallel lines is 180°

EF || CD

DCE + CEF = 35 + 145 = 180° …(2)

From (1) and (2)

AB || EF

[Since, Lines parallel tothe same line are parallel to each other]

Hence Proved.

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