If angle between two radii of a circle is 130°, the angle between the tangents at the ends of radii is
Enhance your Class 10th Maths preparation with NCERT solutions and MCQ-based questions from Chapter 10: Circles. Solve exercise questions, short-answer problems, and detailed explanations to master concepts like tangents, chords and their properties. These resources align with the CBSE syllabus, ensuring effective exam readiness. Regular practice will improve your problem-solving skills and boost your confidence for board exams. Access step-by-step solutions and revision notes tailored to simplify complex ideas and help students succeed. Focus on the properties of circles and their applications to strengthen your understanding. Start practicing today to excel in this chapter and achieve excellent results in exams. Begin now!
We are given:
– The angle between two radii of a circle is 130°.
Key property of tangents
The tangents at the ends of the two radii are perpendicular to their respective radii. Therefore, the angle between the tangents is the **supplement** of the angle between the radii.
Calculate the angle between the tangents
The sum of the angle between the radii and the angle between the tangents is 180°. Thus:
Angle between tangents = 180° – Angle between radii.
Substitute the given angle between the radii:
Angle between tangents = 180° – 130° = 50°.
This question related to Chapter 10 Mathematics Class 10th NCERT. From the Chapter 10 Circle. Give answer according to your understanding.
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