Question

please find the attachment

Answer 1

It is given that DE || GB,

Now angle EFG (z) = angle BGC

=> angle z = 125°

By linear pair property,

angle z + angle x = 180°

=> 125° + angle x = 180°

=> angle x = 180° - 125°

Therefore by subtraction we get the value of angle x to be 55°.

And since angle y and angle z are vertically opposite angles, they are equal therefore,

angle y = 55°

Hence all values found.

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