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TL;DR: When two secants slice through a circle, or a secant and a tangent meet at one, the angle they form depends on where their vertex sits. Inside the circle, on the circle, or outside the circle: three locations, three rules. Each rule comes down to taking either half the sum or half the difference […]
An inscribed angle has its vertex on the circle and measures half the arc it intercepts. Two inscribed angles catching the same arc are therefore equal, whatever their positions on the circle. Worked examples: inscribed angles Practice questions on inscribed angles In a circle, an inscribed angle intercepts an arc measuring ( 180^circ ). What […]
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