Question

AB is equal to ADand BC is equal to DC if angle BAC is equal to 30 find the measure of angle OAD

Answer 1

By the property of kite

=>The diagonal of kite intersect at right angle...i

using this in ∆AOB,
angleAOB=90°

using angle sum property in ∆AOB

angleAOB+angleABO+angleBAO=180

90+angleABO+30=180

150+angleABO=180

angleABO=180-150

angleABO=30

in ∆ABD
AB=AD

angle ABO=angle ADO

:-angle opposite to equal side are equal.

angleADO=30

in ∆AOD

angleAOD=90°........from i

using angle sum property in∆AOD

angleADO+angleAOD+angleDAO=180
30+90+angleDAO=180

150+angleDAO=180

angle DAO=180-150

angleDAO=30

angle OAD=30......


@Altaf