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In the adjoining figure, AC = BD. If ∠CAB = ∠DBA, then ∠ACB is equal to
  • a)
    ∠ABC
  • b)
    ∠ABD
  • c)
    ∠BDA
  • d)
    ∠BAD
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the adjoining figure, AC = BD. If∠CAB =∠DBA, then∠ACB i...
In triangle ACB and triangle BDA ,
AC = BD (given)
Angle CAB = Angle DBA(given)
AB = AB (common)
Hence, by SAS congruence condition triangle ACB is congruent to Triangle BDA
So, By CORRESPONDING PAIRS OF CONGRUENT TRIANGLES angle ACB = angle BDA
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Community Answer
In the adjoining figure, AC = BD. If∠CAB =∠DBA, then∠ACB i...
Angle BDA ...
through CPCT .
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