In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x. H G F A 70 30° 130° to E B D C Fig. 5
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.Answer:
Adjacent angles of parallelogram are supplementary and opposite angles are equal.
So, In parallelogram ABDH
∠A+∠B=180
o
∠D=∠A=180−∠B=180−130=50
o
Also, In parallelogram CEFG,
∠C=∠F=30
o
Hence , in ΔCDX
∠C+∠D+∠X=180
o
30+50+x=180
∠x=180−80=100
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