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Secant ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and tangent ⎯⎯⎯⎯⎯⎯⎯⎯ intersect outside a circle. The measure of ⏜ is 43° and the measure of ⏜ is 157°.


Determine the measure of ∠ QRS,

Secant and tangent intersect outside a circle The measure of is 43 and the measure of is 157Determine the measure of QRS class=

Respuesta :

Answer:

57°

Step-by-step explanation:

∠QRS = (157 - 43) / 2 = 57°

Answer:

∠ QRS = 55°

Step-by-step explanation:

The tangent- secant angle QRS is half the difference of the intercepted arcs, that is

∠ QRS = [tex]\frac{1}{2}[/tex] ( RS - PS) = [tex]\frac{1}{2}[/tex] (157 - 43)° = [tex]\frac{1}{2}[/tex] × 114° = 57°

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