Question

If AC || EF , Find x and y.
As shown in the diagram.​

Answer 1

Answer:

angel BAD is equal to angle EFD because they are alternate angle

angle ABD + angle DBC = 180

so angle ABD = 42

In triangle ABD

Angle A+B+D = 180

60 + 42 + X = 180

102 + X = 180

X = 180 - 102

X = 78

Step-by-step explanation:

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Answer 2

Answer:

Let the inner side of angle b be z

z + 138° = 180°

z = 180° - 138°

z = 42°

angle BAD is equal to angle EFD ( alternate angle )

angle ABD + angle DBC = 180°

In triangle ABD

Angle A+B+D = 180°

60° + 42° + X = 180 °

102° + X = 180 °

X = 180° - 102°

X = 78°

y = x = 78° ( Co interior angle )

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