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Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles. - Mathematics

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प्रश्न

Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.

बेरीज

उत्तर

Let the adjacent angles of a parallelogram be x and 3x.

Then, we have x + (3x) = 180°  ...[Adjacent angles of parallelogram are supplementary]

⇒ 4x = 180°

⇒ x = 45°

Thus, the angles are 45°, 135°.

Hence, the angles are 45°, 135°, 45°, 135°.   ...[Opposite angles in a parallelogram are equal]

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पाठ 5: Understanding Quadrilaterals and Practical Geometry - Exercise [पृष्ठ १५४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 133 | पृष्ठ १५४

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