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

Sum

Solution

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

∴ x = 110° ...... [Alternate interior angles]

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

∴ y + 80° = 180°  ......[Co-interior angles]

∴ y = 180° – 80° = 100°

Thus, x = 110° and y = 100°

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Chapter 5: Lines and Angles - Exercise [Page 150]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 5 Lines and Angles
Exercise | Q 113. | Page 150

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