Question

ABCD is a trapezium in which ab parallel to CD and AD parallel to BC show that angle A equal to Angle B angle c equal to angle d triangle ABC congruent to triangle B A d diagonal AC equal to diagonal BD​

Answer 1

Answer:

□AECD is parllologram so

angle DAE = angle CEA ...rison adjacent

angles ....1

angle ADC= angle DCE...rison opposite angles..2

Now in triangle BEC

A= E .....From 1

A= C......From 2

so E= C

and B = E = C...by tringevity....3

from 3 A = B

similarly C=D