Question

Angle BCD=angle ADC and angle ACB =angle BDA.prove that AD =BC and angleA=angle B

Answer 1

First. Angle ACB = Angle BDA (given) Second. Angle ADC = Angle BCD (given) Third. CD = CD (common)  So triangle ACD is congruent to BDC by AAS congruency rule  1.) AD=BC (CPCT) 2.) Angle A = Angle B (CPCT)

Answer 2

Answer:

Step-by-step explanation:

given

angle bcd=angle ADC and angle ACB =BDA

to prove= ad=BC and angle a= angle

proof:angle ACB= angle BDA ( given)

angle ADC = angle bcd ( given)

cd=cd (common side)

so, triangle acd is congruent to BDC by aas congruence rule

ab= BC(cpct)

angle a= angle b (cpct)