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In the Following Figure, Pq is the Tangent to the Circle at A, Db is the Diameter and O is the Centre of the Circle. If ∠Adb = 30° and ∠Cbd = 60°, Calculate: (I) ∠Qab, (Ii) ∠Pad, (Iii) ∠Cdb, - Mathematics

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Question

In the following figure, PQ is the tangent to the circle at A, DB is the diameter and O is the centre of the circle. If ∠ADB = 30° and ∠CBD = 60°, Calculate: ∠QAB 

Solution

PAQ is a tangent and AB is the chord.

∠ QAB = ∠ ADB = 30° (angles in the alternate segment)

  Is there an error in this question or solution?
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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 18: Tangents and Intersecting Chords
Exercise 18 (B) | Q: 3.1 | Page no. 283
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In the Following Figure, Pq is the Tangent to the Circle at A, Db is the Diameter and O is the Centre of the Circle. If ∠Adb = 30° and ∠Cbd = 60°, Calculate: (I) ∠Qab, (Ii) ∠Pad, (Iii) ∠Cdb, Concept: Tangent Properties - If a Line Touches a Circle and from the Point of Contact, a Chord is Drawn, the Angles Between the Tangent and the Chord Are Respectively Equal to the Angles in the Corresponding Alternate Segments.
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