Question

in the given figure if angle A = angle B And DE // AB prove that AD = BE

Answer 1

Step-by-step explanation:

angle A =angleB ( given)

so there sides also equal by isoscale triangle rule

so AC=BC

AB||DE (given)

construct a line AF which bisect DE and AB the middle point is G

In triangle CGD&CGE

ANGLE D = angle E

CG=CG

DG=EG

so, ∆CGD =~ ∆CGE

so, CD=CE

BY THIS AD=BE

hence proved