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Produce CD to cut AB at E.
Now, in ∆BDE, we have,
Exterior ∠CDB=∠CEB+∠DBE
⇒x=∠CEB+45 …..(i)
In ∆AEC, we have,
Exterior ∠CEB=∠CAB+∠ACE
=55+30=85
Putting ∠CEB=85 in (i), we get,
x=85+45=130
∴x=130
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