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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

In the given figure, ABCD is a cyclic quadrilateral where diagonals intersect at P such that ∠DBC = 40° and ∠BAC = 60° find ∠BCD - Mathematics

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प्रश्न

In the given figure, ABCD is a cyclic quadrilateral where diagonals intersect at P such that ∠DBC = 40° and ∠BAC = 60° find ∠BCD

बेरीज

उत्तर

∠BAC – ∠BDC = 60°  ...[Angles at the circumference to the same segment]

∠BCD + ∠BDC + ∠CBD = 180° ...(Sum of the three angles of A is 180°)

∠BCD + 60° + 40° = 180°

∠BCD = 180° – 100°

= 80°

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Theorem: If One Side of a Cyclic Quadrilateral is Produced Then the Exterior Angle is Equal to the Interior Opposite Angle.
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पाठ 4: Geometry - Exercise 4.4 [पृष्ठ १७३]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 4 Geometry
Exercise 4.4 | Q 4. (ii) | पृष्ठ १७३
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