Question

Answer with full procedure.

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Answer 1

IN THE GIVEN FIGURE

i ) angle ABC = 62 degree
and angle BCD = (30 + 32)DEGREE
therefore angle BCD = 62 degree

angle ABC and angle BCD are equal therefore they are said to be alternate interiors and if they are alternate interiors then
WE GET
AB // DC

ii ) Draw an imaginary line extending FE to G which intersects BC.
now angle CEG = 180 - 148 (linear pair)
therefore angle CEG = 32degeree
now angle DCG and angle CEG are equal that means they are alternate interiors
there fore we get CD//EF

iii ) since AB//CD and CD // EF
therefore AB is also // EF

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