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In the chord-tangent picture, the angle which the chord makes with the tangent at one end on the minor-arc side is 65°. The angle the tangent makes with the chord at the same end on the major-arc side equals:
Answer & Solution
Correct answer: A.
1. The two angles the tangent makes with the chord at the same endpoint sit on opposite sides of the chord.
2. They form a linear pair along the tangent line, so they are supplementary.
3. Supplementary means their sum is 180°.
4. 180° − 65° = 115°, so the other tangent-chord angle measures 115°.
5. The 25° figure would require a complement, not a supplement.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7 "Tangents" (pp 159-172, 2019 ed.)._
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