Question

In the figure, ray AB Il ray CD. From the information given in the figure,
find the value of x.
​

Answer 1

Answer:

Thus, the value of the <BEC=x=40°

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Step-by-step explanation:

Let AB is parallel to FG, then

ZABE=<BEG=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°+/CEG=180°

ZCEG=80°

Now, ZBEG=<BEC+ZCEG

120°=x+80°

x=40°

Thus, the value of the <BEC=x=40°