Math, asked by world56, 1 month ago

ABCD is a rhombus. Show that diagonal AC bisects angle A as well as angle and diagonal BD bisects angle B as well as angle D​

Answers

Answered by renibeni200782
0

AB=BC=CD=DA⇒AC⊥BDInΔABC⇒AB=BC⇒∴∠CAB=∠ACB⇒AO=OC∴∠ABO=∠CBOandsimillarlyinΔADC⇒AD=DC⇒AO=OC∴correspondingangleareequal⇒∠DAC=∠DCAand∠CDO=∠ADOHence,ACbisect∠Aand∠CandBDbisects∠Band∠D

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