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Question

Question 157
In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.

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Solution

We have, two parallelograms ABDH and CEFG.
In parallelogram ABDH,
ABD+BDH=180 [ adjacent angles of a parallelogram are supplementary]
BDH=180130BDH=50(i)
In parallelogram CEFG,
GCE=GFE [Opposite angles are equal]
GCE=30(ii)

In ΔOCD, by using angle sum property, OCD+ODC+COD=180
50+30+x=180 [From (i) and (ii)]
x=18080=100

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