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In Fig. 6.28, find the values of x and y and then show that AB CD. Q.1

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What is the best way for solving the question from class 9th ncert math of Lines and Angles chapter of Ncert of exercise 6.2of math. What is the best way for solving this question please guide me the best way for solving this question. In Fig. 6.28, find the values of x and y and then show that AB CD.

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  1. We know that a linear pair is equal to 180°.

    So, x+50° = 180°

    ∴ x = 130°

    We also know that vertically opposite angles are equal.

    So, y = 130°

    In two parallel lines, the alternate interior angles are equal. In this,

    x = y = 130°

    This proves that alternate interior angles are equal and so, AB CD.

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