Question

find the value of x in the given figure​

Answer 1

Step-by-step explanation:

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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