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

In the given figure, AC is the diameter of the circle with centre O. If ∠ADE = 30°, ∠DAC = 35° and ∠CAB = 40°. Find ∠DAE - Mathematics

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प्रश्न

In the given figure, AC is the diameter of the circle with centre O. If ∠ADE = 30°, ∠DAC = 35° and ∠CAB = 40°. Find ∠DAE

बेरीज

उत्तर

In the cyclic quadrilateral ACDE,

∠AED = 180° – 55°

= 125°

In ΔAED,

∠DAE + ∠AED + ∠EDA = 180° ...(Sum of the angles of a triangle is 180°)

∠DAE + 125° + 30° = 180°

∠DAE = 180° − 155°

= 25°

∴ ∠DAE = 25°

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Exterior Angle of a Cyclic Quadrilateral
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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 2. (iii) | पृष्ठ १७३
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