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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

□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.

बेरीज

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.
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2019-2020 (March) Set 1
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