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<DCA = <DBA = 40° ( as ΔADB≈ΔDAC)
Therefore in ΔABD,
<ADB = 180 – (<BAD + <DBA)
= 180 – (100+40)
= 180 – 140
= 40° (Ans)
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Step-by-step explanation:
SSS congruence criterion
because in triangle ADB and DAC
AB= DC(given )
AC = DC (given )
AD = AD (common)
therefore by SSS congruence criterion
∆ ADB =~ ∆ DAC
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