Question

ABC and DEF are 2 triangles such that AB=DE,AC=DF and angle A and angle D are supplementary. Show that ar.(ABC)=ar(DEF)

Answer 1

In triangle ABC and DEF
AB=DE given
AC=DF given
AngleA =angleD given
therefore ABC is congruent to DEF
ar ABC is equal to ar DEF because congruent figures are always equal in area