Cpct is the correct answer but why can’t alternate interior angles also be the reason for the answer. Please explain Share with your friends Share 0 Rashi Lokwani answered this Dear Student, It is not mentioned that AC || BD. Hence, we cannot conclude that ∠C and ∠D being alternate interior angles are equal. So, we first need to prove that ∆AOC≅∆BODThen by CPCT we can say that ∠C = ∠DSolution:In ∆AOC and ∆BODAO = BO {Since CD bisects AB}∠AOC = ∠BOD {Vertically opposite angles}CO = DO {Since AB bisects CD}Therefore, ∆AOC ≅ ∆BOD (By SAS congruence criterion)Hence, ∠OCA = ∠ODC or ∠C = ∠D {By CPCT} Regards 1 View Full Answer
