https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:angles-in-the-same-segment/v/angles-subtended-by-an-arc-in-the-same-segment-are-equal 2026-02-11T08:39:31.456454846Z Angles subtended by an arc in the same segment are equal In this video, we explain the important circle theorem: angles subtended by an arc in the same segment are equal. The logic comes from the fact that each angle is subtended by the same arc, and the arc’s corresponding central angle governs their measure. By joining the arc’s endpoints to different points on the circle, we form triangles where the angles at the circumference depend on half the central angle. Since the central angle is fixed, all such angles in the same segment are equal. Step by step, we show the construction, the reasoning, and why this property holds true, making the theorem clear and easy to remember. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Angles subtended by an arc in the same segment are equal In this video, we explain the important circle theorem: angles subtended by an arc in the same segment are equal. The logic comes from the fact that each angle is subtended by the same arc, and the arc’s corresponding central angle governs their measure. By joining the arc’s endpoints to different points on the circle, we form triangles where the angles at the circumference depend on half the central angle. Since the central angle is fixed, all such angles in the same segment are equal. Step by step, we show the construction, the reasoning, and why this property holds true, making the theorem clear and easy to remember. 126 Angles in the same segment https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:angles-in-the-same-segment/e/angles-in-a-same-segment-of-a-circle 2026-02-11T08:39:31.456454846Z Angles in a same segment of a circle In this exercise the students learn about the angles in a same segment of a circle. Khan Academy exercise