Two Tangents on a Circle | Tangents and Secants to a Circle | Class 10 TG |Mathematics| Khan Academy скачать в хорошем качестве

Two Tangents on a Circle | Tangents and Secants to a Circle | Class 10 TG |Mathematics| Khan Academy

Course Link:- https://www.khanacademy.org/math/clas... Is there a hidden connection between the angle formed by tangents outside a circle and the angles inside it? In this video, we solve the Tangent Angle Mystery. We walk through numerical examples using 40 degrees and 60 degrees to uncover a consistent pattern. Using formal geometry, we prove that the external angle (Angle QAP) is always exactly double the internal angles (Angle OPQ or Angle OQP). We leverage circle theorems, including the property that tangents from an external point are equal and that a radius is always perpendicular to a tangent at the point of contact. Courses on Khan Academy are always 100% free. Start practicing now! Timestamps: 0:00 - Introduction: The Tangent Angle Mystery 0:13 - Investigating External vs. Internal Angles 0:35 - Applying the Concept with Actual Numbers (40 degrees) 1:19 - Clue 1: Tangents from an External Point are Equal 1:55 - Clue 2: Angle Sum Property and Isosceles Triangles 2:35 - Clue 3: The Radius perpendicular to Tangent Theorem 3:14 - Calculation Strategy: Subtracting the Part from the Whole 3:57 - Pattern Discovered: The 2x Relationship 4:08 - Practice Example: What if the angle is 60 degrees? 5:00 - Formal Proof: Proving the Rule for Any Angle theta 6:12 - Conclusion: Summary of the Relationship Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate