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°
