Q. 184.4( 15 Votes )
Calculate the value of x in the given figure.
Answer :
x=130
Explanation:
In triangle ACD,
∠3 = ∠1 + ∠C __________________ (i)
In triangle ABD,
∠4 = ∠2 + ∠B __________________ (ii)
Adding equation (i) and (ii),
∠3 + ∠4 = ∠1 + ∠C + ∠2 + ∠B
⇒ ∠BDC = (∠1 + ∠2) + ∠C + ∠B
⇒ x°= 55°+ 30°+ 45°
⇒ x°= 130°
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