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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

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

योग

उत्तर

∠ABC = 90° ...(Angle in a semi−circle)

∠ACB + ∠CBA + ∠BAC = 180°  ...(Sum of the angles of a triangle is 180°)

∠ACB + 90° + 40° = 180°

∠ACB = 180° – 130°

= 50°

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Exterior Angle of a Cyclic Quadrilateral
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अध्याय 4: Geometry - Exercise 4.4 [पृष्ठ १७३]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 4 Geometry
Exercise 4.4 | Q 2. (ii) | पृष्ठ १७३
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