Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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In the given figure, AC is the diameter of the circle with centre O. If ∠ADE = 30°, ∠DAC = 35° and ∠CAB = 40°. Find ∠ACD - Mathematics

Sum

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

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Solution

∠ADC = 90° ...(Angle in a semi-circle)

∠ADC + ∠ACD + ∠DAC = 180° ...(Sum of the angles of a triangle is 180°)

90° + ∠ACD + 35° = 180°

∠ACD = 180° – 125°

∠ACD = 55°

Concept: Exterior Angle of a Cyclic Quadrilateral
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 4 Geometry
Exercise 4.4 | Q 2. (i) | Page 173
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