# 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)

3 + 4 = 1 + C + 2 + B

BDC = (1 + 2) + C + B

= 55°+ 30°+ 45°

= 130°

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