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 ∠DAE - 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 ∠DAE

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Solution

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°

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. (iii) | Page 173
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