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In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______. - Mathematics

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प्रश्न

In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.

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उत्तर

In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = 80°.

Explanation:


In a trapezium, we know that, the angles on either side of the base are supplementary.

So, In trapezium ABCD, given AB || CD

∴ ∠A + ∠D = 180°

⇒ 100° + ∠D = 180°

⇒ ∠D = 180° – 100°

∴ ∠D = 80°

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पाठ 5: Understanding Quadrilaterals and Practical Geometry - Exercise [पृष्ठ १५२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 90 | पृष्ठ १५२

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