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In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y. - Mathematics

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Question

In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

Sum

Solution

Since, l || m and p is a transversal.

∴ x + 66° = 180°  ......[Co-interior angles]

⇒ x = 180° – 66° = 114°

Now, l || m and n is a transversal.

∴ y + 48° = 180°  .....[Co-interior angles]

⇒ y = 180° – 48° = 132°

Thus, x = 114° and y = 132°

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Chapter 5: Lines and Angles - Exercise [Page 148]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 5 Lines and Angles
Exercise | Q 107. | Page 148

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