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Sagot :

Answer:

SW = 151°

Step-by-step explanation:

The secant- secant angle TUV is half the measure of the intercepted arcs, that is

∠ TUV = [tex]\frac{1}{2}[/tex] (SW - TV ) , substitute values

6x - 19 = [tex]\frac{1}{2}[/tex] ( 12x - 5 - (2x + 7 ) ) ← multiply both sides by 2 to clear the fraction

12x - 38 = 12x - 5 - 2x - 7

12x - 38 = 10x - 12 ( subtract 10x from both sides )

2x - 38 = - 12 ( add 38 to both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Then

SW = 12x - 5 = 12(13) - 5 = 156 - 5 = 151°

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