Question

in the given figure angle A =angleD and angle ACB=angle DBC. prove that AC =DB​

Answer 1

Step-by-step explanation:

in triangle ACB and DBC

• angle A = angle D (Given)
• angle ACB = angle DBC ( given)
• BC = BC ( common )

triangle ACB is congruent to triangle DBC

AC = DB ( congruent parts of congruent triangles are equal )

proved

Answer 2

Step-by-step explanation:

in triangle ABC and DCB

angle ACB=angle DBC

angle A= angle D

and BC=BC

therefore  triangle ABC is congruent to triangle DCB(aas)

AC = DB (cpct)

cpct means congruent parts of congruent triangles