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ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R. - Mathematics

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प्रश्न

ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.

योग

उत्तर

Let ABCD be a parallelogram,


Given: ∠C = 45°

In a parallelogram ABCD,

∠A = ∠C  ...[Opposite angles of parallelogram are equal]

Similarly, in a parallelogram PRQA,

∠A = ∠R   ...[Opposite angles of parallelogram are equal]

Hence, ∠R = 45°

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अध्याय 5: Understanding Quadrilaterals and Practical Geometry - Exercise [पृष्ठ १६१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 180 | पृष्ठ १६१

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