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State True/False.

The values of $x, y$ and $z$ are $105 °, 75 °, 50 °$ in the given figure, when $AB | | CD$ .

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True

False

answer is A.

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Detailed Solution

Given

AB | | CD

and the transversals EF and EG are cutting them.
So, by alternate interior angles property:
Question Image

Now, using the property of linear pair of angles,
Question Image

Now, by Exterior angle theorem,
Question Image

Thus, the values of

x, y

and

z

are

105 °, 75 °, 50 °

.
Therefore, the given statement is true.
Hence, option (1) is correct.

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