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In the picture in the textbook, the sides of a large triangle are tangent to a circle of radius 2 cm and the lower angle equals 25°. The angle the tangent line makes with the radius at the contact point is:
Answer & Solution
Correct answer: D.
1. The tangent at the contact point is perpendicular to the radius through that point.
2. Perpendicular means a 90° angle.
3. So the radius-tangent angle is always 90°, independent of any other angle in the figure.
4. The 25° and 65° are angles within the supporting triangle, not at the radius-tangent corner.
5. Hence the radius-tangent angle measures 90°.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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