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Pt is a Tangent to the Circle at T. If ∠Abc = 70° and ∠Acb = 50°; Calculate: ∠Cbt - Mathematics

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Question

PT is a tangent to the circle at T. if ∠ABC = 70° and ∠ACB = 50°; Calculate:

∠ CBT   

Solution

 

Join AT and BT.

TC is the diameter of the circle

∴ ∠ CBT =  90°  (Angle in a semi – circle)

  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 (A) | Q: 22.1 | Page no. 276
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Pt is a Tangent to the Circle at T. If ∠Abc = 70° and ∠Acb = 50°; Calculate: ∠Cbt 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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