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□ABCD is cyclic. If ∠B = 110°, then find measure of ∠D. - Geometry Mathematics 2

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प्रश्न

`square`ABCD is cyclic. If ∠B = 110°, then find measure of ∠D.

योग

उत्तर

`square`ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementary.

∴ ∠B + ∠D = 180°

∴ 110° + ∠D = 180°

∴ ∠D = 180° − 110° = 70°

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Converse: If a Pair of Opposite Angles of a Quadrilateral is Supplementary, Then the Quadrilateral is Cyclic.
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2019-2020 (March) Set 1
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