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Mathematics for IGCSE & O level - Circle Theorems (Section 2 - No. 38)

What is the correct relationship between an angle formed by two intersecting chords inside a circle and the arcs they intercept?
The angle is equal to the sum of intercepted arcs.
The angle is equal to the difference between intercepted arcs.
The angle is half the sum of intercepted arcs.
The angle is unrelated to the intercepted arcs.

Explicaţie

The angle formed by two intersecting chords is half the sum of the arcs intercepted by the angle and its vertical angle.

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