Q18 of 153 Page 144

Calculate the value of x in the given figure.

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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