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If the central angle of a chord is 100°, what is the angle between the chord and the tangent at one of its end-points?
Answer & Solution
Correct answer: A.
1. By the tangent-chord rule, this angle is half the chord's central angle.
2. The central angle here is 100°.
3. Half of 100° is 50°.
4. So each angle between the chord and the tangent at its end-points is 50°.
5. The supplementary angle on the other side of the chord is 130°, not asked.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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