Question

Abcd is a trapezium whose ab||cd bc=cd prove that

Answer 1

Proof Draw AE _|_ DC and BF_|_DC

In rt.angled triangle's AED and BFC

hypotensue AD =hypotenuse BC

side AE=side BF since AB || CD

|_AED=|_BFC =90*

Therefore triangle AED is congurent to triangle BFC by RHS.

Therefore |_DAE = |_CBF

i.e |_DAE + |_EAB = |_CBF + |_FBA

|_EBA = |_FBA = 90*