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The difference of measures between the arcs subtended by chord AB is 160°. Line l is tangent to the circle at point A. Find the measure of the angle between the tangent l and secant AB.

 

 Apr 11, 2020
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The difference of measures between the arcs subtended by chord AB is 160°. Line l is tangent to the circle at point A. Find the measure of the angle between the tangent l and secant AB.

 

Hello Guest!

 

Die Differenz der Maße zwischen den durch den Akkord AB eingeschlossenen Bögen beträgt 160 °. Die Linie l tangiert den Kreis am Punkt A. Ermitteln Sie das Maß für den Winkel zwischen der Tangente l und der Sekante AB.

 

The angle between the radius vector and the secant is
(180°-160°) / 2 = 10°.
The angle between the radius vector and the tangent is 90°.
The angle between the tangent and the secant is
90° + 10° = 100°.

laugh  !

 Apr 11, 2020

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