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the answer is 40°
Step-by-step explanation:
Let AB is parallel to FG, then LABE=ZBEG=120°(Alternate angles)
Also, it is given that CD is parallel to AB and we have assumed that AB is parallel to FG, then CD is parallel to FG
Therefore, considering CD || FG and CE is the transversal, then
ZDCE+ZCEG=180°(Co-interior angles)
100°+ZCEG=180°
ZCEG=80°
Now, ZBEG=ZBEC+ZCEG
120°=x+80°
x-40°
Thus, the value of the ZBEC=x=40°
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