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In the following figure QP || RT. Find the values of x and y. - Mathematics

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प्रश्न

In the following figure QP || RT. Find the values of x and y.

योग
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उत्तर

QP || RT and PR is a transversal.

∴ ∠QPR = ∠PRT  ...[Alternate interior angles]

⇒ x = 70°

Now, QP || RT and QR is a transversal.

∴ ∠PQR + ∠QRT = 180°  ...[Co-interior angles]

⇒ 30° + y + 70° = 180°

⇒ y = 180° – 30° – 70° = 80°

Thus, x = 70° and y = 80°.

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अध्याय 6: Triangles - Exercise [पृष्ठ १७३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 118. | पृष्ठ १७३

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